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55604976 = 2437732267
BaseRepresentation
bin1101010000011…
…1011011110000
310212122000200120
43110013123300
5103213324401
65303450240
71243430430
oct324073360
9125560616
1055604976
1129429929
1216756980
13b69b66b
1475562c0
154d35836
hex35076f0

55604976 has 80 divisors (see below), whose sum is σ = 166489344. Its totient is φ = 15662592.

The previous prime is 55604953. The next prime is 55604987. The reversal of 55604976 is 67940655.

55604976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23395 + ... + 25661.

Almost surely, 255604976 is an apocalyptic number.

55604976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55604976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83244672).

55604976 is an abundant number, since it is smaller than the sum of its proper divisors (110884368).

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

55604976 is a wasteful number, since it uses less digits than its factorization.

55604976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 55604976 is about 7456.8744122454. The cubic root of 55604976 is about 381.6845252243.

The spelling of 55604976 in words is "fifty-five million, six hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 2267 3066 3504 4088 4534 6132 6801 8176 9068 12264 13602 15869 18136 24528 27204 31738 36272 47607 54408 63476 95214 108816 126952 165491 190428 253904 330982 380856 496473 661964 761712 992946 1158437 1323928 1985892 2316874 2647856 3475311 3971784 4633748 6950622 7943568 9267496 13901244 18534992 27802488 55604976