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60055056 = 24322973197
BaseRepresentation
bin1110010100010…
…1111000010000
311012000010001100
43211011320100
5110333230211
65543104400
71326313425
oct345057020
9135003040
1060055056
1130999286
1218142100
13c599049
147d93d4c
155414156
hex3945e10

60055056 has 120 divisors (see below), whose sum is σ = 177142680. Its totient is φ = 18966528.

The previous prime is 60055043. The next prime is 60055063. The reversal of 60055056 is 65055006.

60055056 is a `hidden beast` number, since 60 + 0 + 550 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28515600 + 31539456 = 5340^2 + 5616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304750 + ... + 304946.

It is an arithmetic number, because the mean of its divisors is an integer number (1476189).

Almost surely, 260055056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60055056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88571340).

60055056 is an abundant number, since it is smaller than the sum of its proper divisors (117087624).

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

60055056 is a wasteful number, since it uses less digits than its factorization.

60055056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 60055056 is about 7749.5197270541. The cubic root of 60055056 is about 391.6064702618.

The spelling of 60055056 in words is "sixty million, fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 73 87 116 144 146 174 197 219 232 261 292 348 394 438 464 522 584 591 657 696 788 876 1044 1168 1182 1314 1392 1576 1752 1773 2088 2117 2364 2628 3152 3504 3546 4176 4234 4728 5256 5713 6351 7092 8468 9456 10512 11426 12702 14184 14381 16936 17139 19053 22852 25404 28368 28762 33872 34278 38106 43143 45704 50808 51417 57524 68556 76212 86286 91408 101616 102834 115048 129429 137112 152424 172572 205668 230096 258858 274224 304848 345144 411336 417049 517716 690288 822672 834098 1035432 1251147 1668196 2070864 2502294 3336392 3753441 5004588 6672784 7506882 10009176 15013764 20018352 30027528 60055056