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452987640 = 23345719973
BaseRepresentation
bin11011000000000…
…000101011111000
31011120101011020000
4123000000223320
51411431101030
6112541033000
714140221450
oct3300005370
91146334200
10452987640
11212777356
12107855760
1372b04831
1444238d60
1529b7d860
hex1b000af8

452987640 has 160 divisors (see below), whose sum is σ = 1740134880. Its totient is φ = 103534848.

The previous prime is 452987617. The next prime is 452987641. The reversal of 452987640 is 46789254.

It is a happy number.

452987640 is a `hidden beast` number, since 4 + 529 + 87 + 6 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452987641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12694 + ... + 32666.

It is an arithmetic number, because the mean of its divisors is an integer number (10875843).

Almost surely, 2452987640 is an apocalyptic number.

452987640 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 452987640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870067440).

452987640 is an abundant number, since it is smaller than the sum of its proper divisors (1287147240).

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

452987640 is a wasteful number, since it uses less digits than its factorization.

452987640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20003 (or 19990 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 452987640 is about 21283.5062900829. The cubic root of 452987640 is about 768.0015869108.

The spelling of 452987640 in words is "four hundred fifty-two million, nine hundred eighty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 19973 22680 39946 59919 79892 99865 119838 139811 159784 179757 199730 239676 279622 299595 359514 399460 419433 479352 539271 559244 599190 699055 719028 798920 838866 898785 1078542 1118488 1198380 1258299 1398110 1438056 1617813 1677732 1797570 2097165 2157084 2396760 2516598 2696355 2796220 3235626 3355464 3595140 3774897 4194330 4314168 5033196 5392710 5592440 6291495 6471252 7190280 7549794 8089065 8388660 10066392 10785420 11324691 12582990 12942504 15099588 16178130 16777320 18874485 21570840 22649382 25165980 30199176 32356260 37748970 45298764 50331960 56623455 64712520 75497940 90597528 113246910 150995880 226493820 452987640