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55930176 = 263410789
BaseRepresentation
bin1101010101011…
…0110101000000
310220020112210000
43111112311000
5103304231201
65314440000
71246253511
oct325266500
9126215700
1055930176
1129631195
1216893000
13b7836a3
1475dca08
154d9bd86
hex3556d40

55930176 has 70 divisors (see below), whose sum is σ = 165809930. Its totient is φ = 18641664.

The previous prime is 55930163. The next prime is 55930201. The reversal of 55930176 is 67103955.

It is a happy number.

55930176 is a `hidden beast` number, since 559 + 30 + 1 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 9144576 = 6840^2 + 3024^2 .

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 55930176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 211 + ... + 10578.

Almost surely, 255930176 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 55930176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82904965).

55930176 is an abundant number, since it is smaller than the sum of its proper divisors (109879754).

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

55930176 is a wasteful number, since it uses less digits than its factorization.

55930176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 55930176 is about 7478.6480061573. The cubic root of 55930176 is about 382.4271602938.

The spelling of 55930176 in words is "fifty-five million, nine hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10789 21578 32367 43156 64734 86312 97101 129468 172624 194202 258936 291303 345248 388404 517872 582606 690496 776808 873909 1035744 1165212 1553616 1747818 2071488 2330424 3107232 3495636 4660848 6214464 6991272 9321696 13982544 18643392 27965088 55930176