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204057792 = 263513121
BaseRepresentation
bin11000010100110…
…10110011000000
3112012222012200000
430022122303000
5404214322132
632125400000
75025314451
oct1412326300
9465865600
10204057792
11a5204704
1258409000
1333378273
141d15b128
1512dab87c
hexc29acc0

204057792 has 84 divisors (see below), whose sum is σ = 606603816. Its totient is φ = 68014080.

The previous prime is 204057757. The next prime is 204057809. The reversal of 204057792 is 297750402.

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

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 11 ways as a sum of consecutive naturals, for example, 8992 + ... + 22112.

It is an arithmetic number, because the mean of its divisors is an integer number (7221474).

Almost surely, 2204057792 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 204057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303301908).

204057792 is an abundant number, since it is smaller than the sum of its proper divisors (402546024).

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

204057792 is an equidigital number, since it uses as much as digits as its factorization.

204057792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13148 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 204057792 is about 14284.8798384866. The cubic root of 204057792 is about 588.7321159726.

The spelling of 204057792 in words is "two hundred four million, fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 13121 15552 26242 39363 52484 78726 104968 118089 157452 209936 236178 314904 354267 419872 472356 629808 708534 839744 944712 1062801 1259616 1417068 1889424 2125602 2519232 2834136 3188403 3778848 4251204 5668272 6376806 7557696 8502408 11336544 12753612 17004816 22673088 25507224 34009632 51014448 68019264 102028896 204057792