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55855296 = 2632721979
BaseRepresentation
bin1101010100010…
…0100011000000
310220002202001200
43111010203000
5103244332141
65313101200
71245522300
oct325044300
9126082050
1055855296
112958aa02
1216857800
13b758593
1475bd600
154d84ab6
hex35448c0

55855296 has 126 divisors (see below), whose sum is σ = 186331860. Its totient is φ = 15950592.

The previous prime is 55855271. The next prime is 55855297. The reversal of 55855296 is 69255855.

55855296 is a `hidden beast` number, since 5 + 5 + 8 + 552 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is not an unprimeable number, because it can be changed into a prime (55855297) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27235 + ... + 29213.

Almost surely, 255855296 is an apocalyptic number.

55855296 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 55855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93165930).

55855296 is an abundant number, since it is smaller than the sum of its proper divisors (130476564).

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

55855296 is a wasteful number, since it uses less digits than its factorization.

55855296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1991 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 55855296 is about 7473.6400769638. The cubic root of 55855296 is about 382.2564180290.

The spelling of 55855296 in words is "fifty-five million, eight hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 1979 2016 2352 3136 3528 3958 4032 4704 5937 7056 7916 9408 11874 13853 14112 15832 17811 23748 27706 28224 31664 35622 41559 47496 55412 63328 71244 83118 94992 96971 110824 124677 126656 142488 166236 189984 193942 221648 249354 284976 290913 332472 379968 387884 443296 498708 569952 581826 664944 775768 872739 886592 997416 1139904 1163652 1329888 1551536 1745478 1994832 2327304 2659776 3103072 3490956 3989664 4654608 6206144 6981912 7979328 9309216 13963824 18618432 27927648 55855296