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475991640 = 233451071373
BaseRepresentation
bin11100010111110…
…000111001011000
31020011122212210000
4130113300321120
51433323213030
6115122053000
714536601505
oct3427607130
91204585700
10475991640
11224759623
121134aa160
13777ca377
14473064ac
152bbc4860
hex1c5f0e58

475991640 has 160 divisors (see below), whose sum is σ = 1615988880. Its totient is φ = 125653248.

The previous prime is 475991617. The next prime is 475991729. The reversal of 475991640 is 46199574.

475991640 is a `hidden beast` number, since 4 + 7 + 599 + 16 + 40 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 345994 + ... + 347366.

Almost surely, 2475991640 is an apocalyptic number.

475991640 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 475991640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807994440).

475991640 is an abundant number, since it is smaller than the sum of its proper divisors (1139997240).

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

475991640 is a wasteful number, since it uses less digits than its factorization.

475991640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 475991640 is about 21817.2326384443. The cubic root of 475991640 is about 780.7879611249.

The spelling of 475991640 in words is "four hundred seventy-five million, nine hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 107 108 120 135 162 180 214 216 270 321 324 360 405 428 535 540 642 648 810 856 963 1070 1080 1284 1373 1605 1620 1926 2140 2568 2746 2889 3210 3240 3852 4119 4280 4815 5492 5778 6420 6865 7704 8238 8667 9630 10984 11556 12357 12840 13730 14445 16476 17334 19260 20595 23112 24714 27460 28890 32952 34668 37071 38520 41190 43335 49428 54920 57780 61785 69336 74142 82380 86670 98856 111213 115560 123570 146911 148284 164760 173340 185355 222426 247140 293822 296568 346680 370710 440733 444852 494280 556065 587644 734555 741420 881466 889704 1112130 1175288 1322199 1469110 1482840 1762932 2203665 2224260 2644398 2938220 3525864 3966597 4407330 4448520 5288796 5876440 6610995 7933194 8814660 10577592 11899791 13221990 15866388 17629320 19832985 23799582 26443980 31732776 39665970 47599164 52887960 59498955 79331940 95198328 118997910 158663880 237995820 475991640