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55687936 = 28191072
BaseRepresentation
bin1101010001101…
…1101100000000
310212210020111011
43110123230000
5103224003221
65305330304
71244224333
oct324335400
9125706434
1055687936
1129486197
1216796994
13b6ca355
14757861a
154d501e1
hex351bb00

55687936 has 54 divisors (see below), whose sum is σ = 118112540. Its totient is φ = 26131968.

The previous prime is 55687909. The next prime is 55687939. The reversal of 55687936 is 63978655.

It is a super-2 number, since 2×556879362 = 6202292431880192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55687936.

It is not an unprimeable number, because it can be changed into a prime (55687939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 520395 + ... + 520501.

Almost surely, 255687936 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 55687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59056270).

55687936 is an abundant number, since it is smaller than the sum of its proper divisors (62424604).

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

55687936 is an equidigital number, since it uses as much as digits as its factorization.

55687936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 128 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

The square root of 55687936 is about 7462.4349913416. The cubic root of 55687936 is about 381.8742493353.

The spelling of 55687936 in words is "fifty-five million, six hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 107 128 152 214 256 304 428 608 856 1216 1712 2033 2432 3424 4066 4864 6848 8132 11449 13696 16264 22898 27392 32528 45796 65056 91592 130112 183184 217531 260224 366368 435062 520448 732736 870124 1465472 1740248 2930944 3480496 6960992 13921984 27843968 55687936