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55876464 = 2432727919
BaseRepresentation
bin1101010100100…
…1101101110000
310220010211002200
43111021231300
5103301021324
65313343200
71245641100
oct325115560
9126124080
1055876464
11295a48a6
1216867b00
13b7650c7
1475c7200
154d8aec9
hex3549b70

55876464 has 90 divisors (see below), whose sum is σ = 181930320. Its totient is φ = 15962688.

The previous prime is 55876423. The next prime is 55876487. The reversal of 55876464 is 46467855.

55876464 is a `hidden beast` number, since 5 + 587 + 6 + 4 + 64 = 666.

55876464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 17 ways as a sum of consecutive naturals, for example, 3097 + ... + 11015.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448).

Almost surely, 255876464 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 55876464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90965160).

55876464 is an abundant number, since it is smaller than the sum of its proper divisors (126053856).

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

55876464 is a wasteful number, since it uses less digits than its factorization.

55876464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7931 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 55876464 is about 7475.0561201907. The cubic root of 55876464 is about 382.3047010178.

The spelling of 55876464 in words is "fifty-five million, eight hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7919 15838 23757 31676 47514 55433 63352 71271 95028 110866 126704 142542 166299 190056 221732 285084 332598 380112 388031 443464 498897 570168 665196 776062 886928 997794 1140336 1164093 1330392 1552124 1995588 2328186 2660784 3104248 3492279 3991176 4656372 6208496 6984558 7982352 9312744 13969116 18625488 27938232 55876464