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55959376 = 24111759317
BaseRepresentation
bin1101010101110…
…1111101010000
310220022000211111
43111131331100
5103311200001
65315223104
71246434604
oct325357520
9126260744
1055959376
1129651120
12168a7a94
13b793a75
147609504
154da5851
hex355df50

55959376 has 80 divisors (see below), whose sum is σ = 127759680. Its totient is φ = 23459840.

The previous prime is 55959349. The next prime is 55959403. The reversal of 55959376 is 67395955.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55959349) and next prime (55959403).

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, 176370 + ... + 176686.

It is an arithmetic number, because the mean of its divisors is an integer number (1596996).

Almost surely, 255959376 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 55959376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63879840).

55959376 is an abundant number, since it is smaller than the sum of its proper divisors (71800304).

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

55959376 is a wasteful number, since it uses less digits than its factorization.

55959376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 1275750, while the sum is 49.

The square root of 55959376 is about 7480.5999759378. The cubic root of 55959376 is about 382.4937011793.

The spelling of 55959376 in words is "fifty-five million, nine hundred fifty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 59 68 88 118 136 176 187 236 272 317 374 472 634 649 748 944 1003 1268 1298 1496 2006 2536 2596 2992 3487 4012 5072 5192 5389 6974 8024 10384 10778 11033 13948 16048 18703 21556 22066 27896 37406 43112 44132 55792 59279 74812 86224 88264 118558 149624 176528 205733 237116 299248 317951 411466 474232 635902 822932 948464 1271804 1645864 2543608 3291728 3497461 5087216 6994922 13989844 27979688 55959376