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55918296 = 23337311193
BaseRepresentation
bin1101010101001…
…1111011011000
310220012221111000
43111103323120
5103303341141
65314305000
71246204050
oct325237330
9126187430
1055918296
1129623275
1216888160
13b77b165
1475d8560
154d985b6
hex3553ed8

55918296 has 128 divisors (see below), whose sum is σ = 183398400. Its totient is φ = 15448320.

The previous prime is 55918277. The next prime is 55918309. The reversal of 55918296 is 69281955.

55918296 is a `hidden beast` number, since 559 + 1 + 8 + 2 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46276 + ... + 47468.

It is an arithmetic number, because the mean of its divisors is an integer number (1432800).

Almost surely, 255918296 is an apocalyptic number.

55918296 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 55918296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91699200).

55918296 is an abundant number, since it is smaller than the sum of its proper divisors (127480104).

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

55918296 is a wasteful number, since it uses less digits than its factorization.

55918296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1236 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 55918296 is about 7477.8537027679. The cubic root of 55918296 is about 382.4000815520.

The spelling of 55918296 in words is "fifty-five million, nine hundred eighteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1193 1302 1512 1674 1736 1953 2232 2386 2604 3348 3579 3906 4772 5208 5859 6696 7158 7812 8351 9544 10737 11718 14316 15624 16702 21474 23436 25053 28632 32211 33404 36983 42948 46872 50106 64422 66808 73966 75159 85896 100212 110949 128844 147932 150318 200424 221898 225477 257688 258881 295864 300636 332847 443796 450954 517762 601272 665694 776643 887592 901908 998541 1035524 1331388 1553286 1803816 1997082 2071048 2329929 2662776 3106572 3994164 4659858 6213144 6989787 7988328 9319716 13979574 18639432 27959148 55918296