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520342272 = 283383907
BaseRepresentation
bin11111000000111…
…100101100000000
31100021010010102000
4133000330230000
52031201423042
6123344424000
715615556602
oct3700745400
91307103360
10520342272
112477a093a
12126318000
1383a58248
144d16d172
1530a3574c
hex1f03cb00

520342272 has 144 divisors (see below), whose sum is σ = 1558999680. Its totient is φ = 171168768.

The previous prime is 520342267. The next prime is 520342283. The reversal of 520342272 is 272243025.

520342272 is a `hidden beast` number, since 52 + 0 + 342 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573243 + ... + 574149.

Almost surely, 2520342272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779499840).

520342272 is an abundant number, since it is smaller than the sum of its proper divisors (1038657408).

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

520342272 is an equidigital number, since it uses as much as digits as its factorization.

520342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 520342272 is about 22811.0120775033. The cubic root of 520342272 is about 804.3215465916.

Adding to 520342272 its reverse (272243025), we get a palindrome (792585297).

The spelling of 520342272 in words is "five hundred twenty million, three hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 256 288 332 384 432 498 576 664 747 768 864 907 996 1152 1328 1494 1728 1814 1992 2241 2304 2656 2721 2988 3456 3628 3984 4482 5312 5442 5976 6912 7256 7968 8163 8964 10624 10884 11952 14512 15936 16326 17928 21248 21768 23904 24489 29024 31872 32652 35856 43536 47808 48978 58048 63744 65304 71712 75281 87072 95616 97956 116096 130608 143424 150562 174144 191232 195912 225843 232192 261216 286848 301124 348288 391824 451686 522432 573696 602248 677529 696576 783648 903372 1044864 1204496 1355058 1567296 1806744 2032587 2089728 2408992 2710116 3134592 3613488 4065174 4817984 5420232 6269184 7226976 8130348 9635968 10840464 14453952 16260696 19271936 21680928 28907904 32521392 43361856 57815808 65042784 86723712 130085568 173447424 260171136 520342272