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64680525 = 37527132
BaseRepresentation
bin1111011010111…
…1001001001101
311111201010000000
43312233021031
5113024234100
610230154513
71413526650
oct366571115
9144633000
1064680525
1133568488
12197b2a39
1310528500
148839897
155a29900
hex3daf24d

64680525 has 144 divisors (see below), whose sum is σ = 148859520. Its totient is φ = 27293760.

The previous prime is 64680479. The next prime is 64680533. The reversal of 64680525 is 52508646.

64680525 is a `hidden beast` number, since 646 + 8 + 0 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 64680525 - 210 = 64679501 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64680525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4975419 + ... + 4975431.

Almost surely, 264680525 is an apocalyptic number.

64680525 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64680525 is an abundant number, since it is smaller than the sum of its proper divisors (84178995).

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

64680525 is an equidigital number, since it uses as much as digits as its factorization.

64680525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 64680525 is about 8042.4203446475. The cubic root of 64680525 is about 401.4127647814.

The spelling of 64680525 in words is "sixty-four million, six hundred eighty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 81 91 105 117 135 169 175 189 195 225 243 273 315 325 351 405 455 507 525 567 585 675 729 819 845 945 975 1053 1183 1215 1365 1521 1575 1701 1755 2025 2187 2275 2457 2535 2835 2925 3159 3549 3645 4095 4225 4563 4725 5103 5265 5915 6075 6825 7371 7605 8505 8775 9477 10647 10935 12285 12675 13689 14175 15309 15795 17745 18225 20475 22113 22815 25515 26325 28431 29575 31941 36855 38025 41067 42525 47385 53235 54675 61425 66339 68445 76545 78975 88725 95823 110565 114075 123201 127575 142155 159705 184275 199017 205335 236925 266175 287469 331695 342225 369603 382725 479115 552825 616005 710775 798525 862407 995085 1026675 1437345 1658475 1848015 2395575 2587221 3080025 4312035 4975425 7186725 9240075 12936105 21560175 64680525