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475343640 = 23345295059
BaseRepresentation
bin11100010101010…
…010101100011000
31020010102221220000
4130111102230120
51433141444030
6115100133000
714531232342
oct3425225430
91203387800
10475343640
11224356792
12113237160
1377631435
14471b8292
152bae7860
hex1c552b18

475343640 has 160 divisors (see below), whose sum is σ = 1653102000. Its totient is φ = 122363136.

The previous prime is 475343639. The next prime is 475343641. The reversal of 475343640 is 46343574.

It is a happy number.

475343640 is a `hidden beast` number, since 4 + 7 + 5 + 3 + 4 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (475343639) and next prime (475343641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 475343595 and 475343604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475343641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91431 + ... + 96489.

Almost surely, 2475343640 is an apocalyptic number.

475343640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475343640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826551000).

475343640 is an abundant number, since it is smaller than the sum of its proper divisors (1177758360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475343640 is a wasteful number, since it uses less digits than its factorization.

475343640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 475343640 is about 21802.3769346372. The cubic root of 475343640 is about 780.4334868547.

The spelling of 475343640 in words is "four hundred seventy-five million, three hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5059 5220 6264 7830 9396 10118 10440 11745 15177 15660 18792 20236 23490 25295 30354 31320 40472 45531 46980 50590 60708 75885 91062 93960 101180 121416 136593 146711 151770 182124 202360 227655 273186 293422 303540 364248 409779 440133 455310 546372 586844 607080 682965 733555 819558 880266 910620 1092744 1173688 1320399 1365930 1467110 1639116 1760532 1821240 2048895 2200665 2640798 2731860 2934220 3278232 3521064 3961197 4097790 4401330 5281596 5463720 5868440 6601995 7922394 8195580 8802660 10563192 11883591 13203990 15844788 16391160 17605320 19805985 23767182 26407980 31689576 39611970 47534364 52815960 59417955 79223940 95068728 118835910 158447880 237671820 475343640