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55195056 = 24327173221
BaseRepresentation
bin1101001010001…
…1010110110000
310211212012101100
43102203112300
5103112220211
65251004400
71240102350
oct322432660
9124765340
1055195056
1129179954
1216599700
13b586bc7
14748ab60
154ca4156
hex34a35b0

55195056 has 120 divisors (see below), whose sum is σ = 186979104. Its totient is φ = 14837760.

The previous prime is 55195051. The next prime is 55195067. The reversal of 55195056 is 65059155.

55195056 is a `hidden beast` number, since 551 + 9 + 50 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55195056.

It is not an unprimeable number, because it can be changed into a prime (55195051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15526 + ... + 18746.

Almost surely, 255195056 is an apocalyptic number.

55195056 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 55195056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93489552).

55195056 is an abundant number, since it is smaller than the sum of its proper divisors (131784048).

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

55195056 is a wasteful number, since it uses less digits than its factorization.

55195056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 55195056 is about 7429.3375209368. The cubic root of 55195056 is about 380.7442845657.

The spelling of 55195056 in words is "fifty-five million, one hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 3221 4284 5712 6442 8568 9663 12884 17136 19326 22547 25768 28989 38652 45094 51536 54757 57978 67641 77304 90188 109514 115956 135282 154608 164271 180376 202923 219028 231912 270564 328542 360752 383299 405846 438056 463824 492813 541128 657084 766598 811692 876112 985626 1082256 1149897 1314168 1533196 1623384 1971252 2299794 2628336 3066392 3246768 3449691 3942504 4599588 6132784 6899382 7885008 9199176 13798764 18398352 27597528 55195056