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55645056 = 27351789
BaseRepresentation
bin1101010001000…
…1001110000000
310212201001200000
43110101032000
5103221120211
65304400000
71243655325
oct324211600
9125631600
1055645056
1129456a55
1216776000
13b6b398c
147566b4c
154d42656
hex3511380

55645056 has 96 divisors (see below), whose sum is σ = 166147800. Its totient is φ = 18537984.

The previous prime is 55645033. The next prime is 55645061. The reversal of 55645056 is 65054655.

It is a happy number.

55645056 is a `hidden beast` number, since 5 + 5 + 645 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55645056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30210 + ... + 31998.

Almost surely, 255645056 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 55645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83073900).

55645056 is an abundant number, since it is smaller than the sum of its proper divisors (110502744).

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

55645056 is an equidigital number, since it uses as much as digits as its factorization.

55645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 55645056 is about 7459.5613812073. The cubic root of 55645056 is about 381.7762091153.

The spelling of 55645056 in words is "fifty-five million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1789 1944 2592 3456 3578 3888 5184 5367 7156 7776 10368 10734 14312 15552 16101 21468 28624 31104 32202 42936 48303 57248 64404 85872 96606 114496 128808 144909 171744 193212 228992 257616 289818 343488 386424 434727 515232 579636 686976 772848 869454 1030464 1159272 1545696 1738908 2060928 2318544 3091392 3477816 4637088 6182784 6955632 9274176 13911264 18548352 27822528 55645056