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55851936 = 2537174889
BaseRepresentation
bin1101010100001…
…1101110100000
310220002120110020
43111003232200
5103244230221
65313033440
71245506430
oct325035640
9126076406
1055851936
1129588428
1216855880
13b756baa
1475bc2c0
154d83ac6
hex3543ba0

55851936 has 96 divisors (see below), whose sum is σ = 177448320. Its totient is φ = 15015936.

The previous prime is 55851931. The next prime is 55851949. The reversal of 55851936 is 63915855.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (55851931) 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, 8980 + ... + 13868.

It is an arithmetic number, because the mean of its divisors is an integer number (1848420).

Almost surely, 255851936 is an apocalyptic number.

55851936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55851936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88724160).

55851936 is an abundant number, since it is smaller than the sum of its proper divisors (121596384).

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

55851936 is a wasteful number, since it uses less digits than its factorization.

55851936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4918 counting only the distinct ones).

The product of its digits is 162000, while the sum is 42.

The square root of 55851936 is about 7473.4152835233. The cubic root of 55851936 is about 382.2487529408.

The spelling of 55851936 in words is "fifty-five million, eight hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 4889 5712 9778 11424 14667 19556 29334 34223 39112 58668 68446 78224 83113 102669 117336 136892 156448 166226 205338 234672 249339 273784 332452 410676 469344 498678 547568 581791 664904 821352 997356 1095136 1163582 1329808 1642704 1745373 1994712 2327164 2659616 3285408 3490746 3989424 4654328 6981492 7978848 9308656 13962984 18617312 27925968 55851936