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204580152 = 233272913997
BaseRepresentation
bin11000011000110…
…10010100111000
3112020221202012200
430030122110320
5404333031102
632144510200
75032621410
oct1414322470
9466852180
10204580152
11a5531107
125861b360
13334cbc5a
141d255640
1512e6151c
hexc31a538

204580152 has 96 divisors (see below), whose sum is σ = 655106400. Its totient is φ = 56431872.

The previous prime is 204580151. The next prime is 204580169. The reversal of 204580152 is 251085402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204580151) 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, 7618 + ... + 21614.

It is an arithmetic number, because the mean of its divisors is an integer number (6824025).

Almost surely, 2204580152 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 204580152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327553200).

204580152 is an abundant number, since it is smaller than the sum of its proper divisors (450526248).

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

204580152 is a wasteful number, since it uses less digits than its factorization.

204580152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14045 (or 14038 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 204580152 is about 14303.1518204905. The cubic root of 204580152 is about 589.2340457870.

The spelling of 204580152 in words is "two hundred four million, five hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 13997 14616 27994 41991 55988 83982 97979 111976 125973 167964 195958 251946 293937 335928 391916 405913 503892 587874 783832 811826 881811 1007784 1175748 1217739 1623652 1763622 2351496 2435478 2841391 3247304 3527244 3653217 4870956 5682782 7054488 7306434 8524173 9741912 11365564 14612868 17048346 22731128 25572519 29225736 34096692 51145038 68193384 102290076 204580152