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55776656 = 24132389131
BaseRepresentation
bin1101010011000…
…1010110010000
310212221202012002
43110301112100
5103234323111
65311253132
71245044105
oct324612620
9125852162
1055776656
1129536911
121681a1a8
13b72b850
14759caac
154d6b63b
hex3531590

55776656 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 24161280.

The previous prime is 55776641. The next prime is 55776661. The reversal of 55776656 is 65667755.

It is a super-2 number, since 2×557766562 = 6222070709084672, 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 55776656.

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 15 ways as a sum of consecutive naturals, for example, 425711 + ... + 425841.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 255776656 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 55776656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

55776656 is an abundant number, since it is smaller than the sum of its proper divisors (67965424).

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

55776656 is a wasteful number, since it uses less digits than its factorization.

55776656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 47.

The square root of 55776656 is about 7468.3770660030. The cubic root of 55776656 is about 382.0769378030.

The spelling of 55776656 in words is "fifty-five million, seven hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 89 92 104 131 178 184 208 262 299 356 368 524 598 712 1048 1157 1196 1424 1703 2047 2096 2314 2392 3013 3406 4094 4628 4784 6026 6812 8188 9256 11659 12052 13624 16376 18512 23318 24104 26611 27248 32752 39169 46636 48208 53222 78338 93272 106444 151567 156676 186544 212888 268157 303134 313352 425776 536314 606268 626704 1072628 1212536 2145256 2425072 3486041 4290512 6972082 13944164 27888328 55776656