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55810944 = 27347769
BaseRepresentation
bin1101010011100…
…1101110000000
310220000111020000
43110321232000
5103241422234
65312120000
71245246060
oct324715600
9126014200
1055810944
112955a652
1216836000
13b741337
1475ab3a0
154d76899
hex3539b80

55810944 has 160 divisors (see below), whose sum is σ = 190066800. Its totient is φ = 15925248.

The previous prime is 55810939. The next prime is 55810973. The reversal of 55810944 is 44901855.

55810944 is a `hidden beast` number, since 558 + 10 + 94 + 4 = 666.

It is a super-2 number, since 2×558109442 = 6229722940342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55810899 and 55810908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72192 + ... + 72960.

Almost surely, 255810944 is an apocalyptic number.

55810944 is a gapful number since it is divisible by the number (54) 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 55810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95033400).

55810944 is an abundant number, since it is smaller than the sum of its proper divisors (134255856).

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

55810944 is an equidigital number, since it uses as much as digits as its factorization.

55810944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 55810944 is about 7470.6722589068. The cubic root of 55810944 is about 382.1552141012.

The spelling of 55810944 in words is "fifty-five million, eight hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 769 864 896 1008 1134 1152 1296 1344 1512 1538 1728 2016 2268 2307 2592 2688 3024 3076 3456 4032 4536 4614 5184 5383 6048 6152 6921 8064 9072 9228 10368 10766 12096 12304 13842 16149 18144 18456 20763 21532 24192 24608 27684 32298 36288 36912 41526 43064 48447 49216 55368 62289 64596 72576 73824 83052 86128 96894 98432 110736 124578 129192 145341 147648 166104 172256 193788 221472 249156 258384 290682 295296 332208 344512 387576 436023 442944 498312 516768 581364 664416 689024 775152 872046 885888 996624 1033536 1162728 1328832 1550304 1744092 1993248 2067072 2325456 2657664 3100608 3488184 3986496 4650912 6201216 6976368 7972992 9301824 13952736 18603648 27905472 55810944