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64969056 = 25321931383
BaseRepresentation
bin1111011111010…
…1100101100000
311112020202210100
43313311211200
5113113002211
610240302400
71416141105
oct367654540
9145222710
1064969056
1133745239
1219911a00
13105c9939
1488b2aac
155a85156
hex3df5960

64969056 has 144 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 19802880.

The previous prime is 64969039. The next prime is 64969061. The reversal of 64969056 is 65096946.

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

It is a super-2 number, since 2×649690562 = 8441956475062272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169441 + ... + 169823.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 264969056 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 64969056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

64969056 is an abundant number, since it is smaller than the sum of its proper divisors (136308384).

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

64969056 is a wasteful number, since it uses less digits than its factorization.

64969056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 64969056 is about 8060.3384544323. The cubic root of 64969056 is about 402.0087619684.

The spelling of 64969056 in words is "sixty-four million, nine hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 383 456 496 558 589 608 684 744 766 912 992 1116 1149 1178 1368 1488 1532 1767 1824 2232 2298 2356 2736 2976 3064 3447 3534 4464 4596 4712 5301 5472 6128 6894 7068 7277 8928 9192 9424 10602 11873 12256 13788 14136 14554 18384 18848 21204 21831 23746 27576 28272 29108 35619 36768 42408 43662 47492 55152 56544 58216 65493 71238 84816 87324 94984 106857 110304 116432 130986 142476 169632 174648 189968 213714 225587 232864 261972 284952 349296 379936 427428 451174 523944 569904 676761 698592 854856 902348 1047888 1139808 1353522 1709712 1804696 2030283 2095776 2707044 3419424 3609392 4060566 5414088 7218784 8121132 10828176 16242264 21656352 32484528 64969056