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55960704 = 2732311567
BaseRepresentation
bin1101010101111…
…0010010000000
310220022002122200
43111132102000
5103311220304
65315233200
71246441512
oct325362200
9126262580
1055960704
1129652118
12168a8800
13b794557
147609bb2
154da5e39
hex355e480

55960704 has 96 divisors (see below), whose sum is σ = 166333440. Its totient is φ = 18040320.

The previous prime is 55960669. The next prime is 55960727. The reversal of 55960704 is 40706955.

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 congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34929 + ... + 36495.

It is an arithmetic number, because the mean of its divisors is an integer number (1732640).

Almost surely, 255960704 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 55960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83166720).

55960704 is an abundant number, since it is smaller than the sum of its proper divisors (110372736).

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

55960704 is a wasteful number, since it uses less digits than its factorization.

55960704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55960704 is about 7480.6887383449. The cubic root of 55960704 is about 382.4967268719.

The spelling of 55960704 in words is "fifty-five million, nine hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1567 1984 2232 2976 3134 3968 4464 4701 5952 6268 8928 9402 11904 12536 14103 17856 18804 25072 28206 35712 37608 48577 50144 56412 75216 97154 100288 112824 145731 150432 194308 200576 225648 291462 300864 388616 437193 451296 582924 601728 777232 874386 902592 1165848 1554464 1748772 1805184 2331696 3108928 3497544 4663392 6217856 6995088 9326784 13990176 18653568 27980352 55960704