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55975584 = 2537312687
BaseRepresentation
bin1101010110000…
…1111010100000
310220022212001210
43111201322200
5103312204314
65315430120
71246533060
oct325417240
9126285053
1055975584
1129662315
12168b5340
13b79b262
1476113a0
154daa559
hex3561ea0

55975584 has 96 divisors (see below), whose sum is σ = 173408256. Its totient is φ = 15471360.

The previous prime is 55975559. The next prime is 55975603. The reversal of 55975584 is 48557955.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 19489 + ... + 22175.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 255975584 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 55975584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704128).

55975584 is an abundant number, since it is smaller than the sum of its proper divisors (117432672).

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

55975584 is a wasteful number, since it uses less digits than its factorization.

55975584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2730 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 48.

The square root of 55975584 is about 7481.6832330699. The cubic root of 55975584 is about 382.5306259386.

The spelling of 55975584 in words is "fifty-five million, nine hundred seventy-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2687 2976 3472 5208 5374 6944 8061 10416 10748 16122 18809 20832 21496 32244 37618 42992 56427 64488 75236 83297 85984 112854 128976 150472 166594 225708 249891 257952 300944 333188 451416 499782 583079 601888 666376 902832 999564 1166158 1332752 1749237 1805664 1999128 2332316 2665504 3498474 3998256 4664632 6996948 7996512 9329264 13993896 18658528 27987792 55975584