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55537056 = 253364279
BaseRepresentation
bin1101001111011…
…0110110100000
310212111120112000
43103312312200
5103204141211
65302204000
71243025421
oct323666640
9125446460
1055537056
11293928a3
1216723600
13b676783
147539648
154d20656
hex34f6da0

55537056 has 48 divisors (see below), whose sum is σ = 161985600. Its totient is φ = 18512064.

The previous prime is 55537051. The next prime is 55537063. The reversal of 55537056 is 65073555.

It is a tau number, because it is divible by the number of its divisors (48).

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 55537056.

It is not an unprimeable number, because it can be changed into a prime (55537051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31276 + ... + 33003.

It is an arithmetic number, because the mean of its divisors is an integer number (3374700).

Almost surely, 255537056 is an apocalyptic number.

It is an amenable number.

55537056 is an abundant number, since it is smaller than the sum of its proper divisors (106448544).

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

55537056 is a wasteful number, since it uses less digits than its factorization.

55537056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64298 (or 64284 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 55537056 is about 7452.3188337591. The cubic root of 55537056 is about 381.5290560730.

The spelling of 55537056 in words is "fifty-five million, five hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 64279 128558 192837 257116 385674 514232 578511 771348 1028464 1157022 1542696 1735533 2056928 2314044 3085392 3471066 4628088 6170784 6942132 9256176 13884264 18512352 27768528 55537056