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55979264 = 2811103193
BaseRepresentation
bin1101010110001…
…0110100000000
310220100001010002
43111202310000
5103312314024
65315455132
71246546565
oct325426400
9126301102
1055979264
1129665060
12168b74a8
13b79cb33
14761286c
154dab6ae
hex3562d00

55979264 has 72 divisors (see below), whose sum is σ = 123719232. Its totient is φ = 25067520.

The previous prime is 55979257. The next prime is 55979333. The reversal of 55979264 is 46297955.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289952 + ... + 290144.

Almost surely, 255979264 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 55979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61859616).

55979264 is an abundant number, since it is smaller than the sum of its proper divisors (67739968).

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

55979264 is a wasteful number, since it uses less digits than its factorization.

55979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its digits is 680400, while the sum is 47.

The square root of 55979264 is about 7481.9291629900. The cubic root of 55979264 is about 382.5390086521.

The spelling of 55979264 in words is "fifty-five million, nine hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 176 193 206 256 352 386 412 704 772 824 1133 1408 1544 1648 2123 2266 2816 3088 3296 4246 4532 6176 6592 8492 9064 12352 13184 16984 18128 19879 24704 26368 33968 36256 39758 49408 67936 72512 79516 135872 145024 159032 218669 271744 290048 318064 437338 543488 636128 874676 1272256 1749352 2544512 3498704 5089024 6997408 13994816 27989632 55979264