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55962368 = 2871117167
BaseRepresentation
bin1101010101111…
…0101100000000
310220022011221022
43111132230000
5103311243433
65315245012
71246446410
oct325365400
9126264838
1055962368
11296533a0
12168a9768
13b795237
14760a640
154da6698
hex355eb00

55962368 has 144 divisors (see below), whose sum is σ = 148345344. Its totient is φ = 20398080.

The previous prime is 55962367. The next prime is 55962371. The reversal of 55962368 is 86326955.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (55962367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335021 + ... + 335187.

It is an arithmetic number, because the mean of its divisors is an integer number (1030176).

Almost surely, 255962368 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 55962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74172672).

55962368 is an abundant number, since it is smaller than the sum of its proper divisors (92382976).

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

55962368 is a wasteful number, since it uses less digits than its factorization.

55962368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The square root of 55962368 is about 7480.7999572238. The cubic root of 55962368 is about 382.5005180337.

The spelling of 55962368 in words is "fifty-five million, nine hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 128 136 154 167 176 187 224 238 256 272 308 334 352 374 448 476 544 616 668 704 748 896 952 1088 1169 1232 1309 1336 1408 1496 1792 1837 1904 2176 2338 2464 2618 2672 2816 2839 2992 3674 3808 4352 4676 4928 5236 5344 5678 5984 7348 7616 9352 9856 10472 10688 11356 11968 12859 14696 15232 18704 19712 19873 20944 21376 22712 23936 25718 29392 30464 31229 37408 39746 41888 42752 45424 47872 51436 58784 62458 74816 79492 83776 90848 102872 117568 124916 149632 158984 167552 181696 205744 218603 235136 249832 299264 317968 335104 363392 411488 437206 470272 499664 635936 726784 822976 874412 999328 1271872 1645952 1748824 1998656 2543744 3291904 3497648 3997312 5087488 6995296 7994624 13990592 27981184 55962368