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55659264 = 283232137
BaseRepresentation
bin1101010001010…
…0101100000000
310212201210011020
43110110230000
5103222044024
65304545440
71244044623
oct324245400
9125653136
1055659264
11294666a1
1216782280
13b6ba29b
14756bdba
154d46979
hex3514b00

55659264 has 108 divisors (see below), whose sum is σ = 155985816. Its totient is φ = 17616896.

The previous prime is 55659259. The next prime is 55659271. The reversal of 55659264 is 46295655.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406204 + ... + 406340.

Almost surely, 255659264 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 55659264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77992908).

55659264 is an abundant number, since it is smaller than the sum of its proper divisors (100326552).

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

55659264 is a wasteful number, since it uses less digits than its factorization.

55659264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 165 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 55659264 is about 7460.5136552385. The cubic root of 55659264 is about 381.8086996614.

The spelling of 55659264 in words is "fifty-five million, six hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 137 138 184 192 256 274 276 368 384 411 529 548 552 736 768 822 1058 1096 1104 1472 1587 1644 2116 2192 2208 2944 3151 3174 3288 4232 4384 4416 5888 6302 6348 6576 8464 8768 8832 9453 12604 12696 13152 16928 17536 17664 18906 25208 25392 26304 33856 35072 37812 50416 50784 52608 67712 72473 75624 100832 101568 105216 135424 144946 151248 201664 203136 217419 289892 302496 403328 406272 434838 579784 604992 806656 869676 1159568 1209984 1739352 2319136 2419968 3478704 4638272 6957408 9276544 13914816 18553088 27829632 55659264