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55326656 = 26711103109
BaseRepresentation
bin1101001100001…
…1011111000000
310212002212220102
43103003133000
5103130423111
65253501532
71241161130
oct323033700
9125085812
1055326656
1129259810
12166418a8
13b601a88
1474c2ac0
154ccd13b
hex34c37c0

55326656 has 112 divisors (see below), whose sum is σ = 139476480. Its totient is φ = 21150720.

The previous prime is 55326641. The next prime is 55326673. The reversal of 55326656 is 65662355.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×553266562 = 6122077728284672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507530 + ... + 507638.

Almost surely, 255326656 is an apocalyptic number.

55326656 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 55326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69738240).

55326656 is an abundant number, since it is smaller than the sum of its proper divisors (84149824).

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

55326656 is a wasteful number, since it uses less digits than its factorization.

55326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its digits is 162000, while the sum is 38.

The square root of 55326656 is about 7438.1890269070. The cubic root of 55326656 is about 381.0466436420.

The spelling of 55326656 in words is "fifty-five million, three hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 103 109 112 154 176 206 218 224 308 352 412 436 448 616 704 721 763 824 872 1133 1199 1232 1442 1526 1648 1744 2266 2398 2464 2884 3052 3296 3488 4532 4796 4928 5768 6104 6592 6976 7931 8393 9064 9592 11227 11536 12208 15862 16786 18128 19184 22454 23072 24416 31724 33572 36256 38368 44908 46144 48832 63448 67144 72512 76736 78589 89816 123497 126896 134288 157178 179632 246994 253792 268576 314356 359264 493988 507584 537152 628712 718528 864479 987976 1257424 1728958 1975952 2514848 3457916 3951904 5029696 6915832 7903808 13831664 27663328 55326656