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204968608 = 25132151251
BaseRepresentation
bin11000011011110…
…01001010100000
3112021200111001221
430031321022200
5404432443413
632201104424
75036130055
oct1415711240
9467614057
10204968608
11a5776a49
1258788114
1333606a00
141d31702c
1512edb68d
hexc3792a0

204968608 has 72 divisors (see below), whose sum is σ = 441606816. Its totient is φ = 93600000.

The previous prime is 204968591. The next prime is 204968627. The reversal of 204968608 is 806869402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816483 + ... + 816733.

It is an arithmetic number, because the mean of its divisors is an integer number (6133428).

Almost surely, 2204968608 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 204968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220803408).

204968608 is an abundant number, since it is smaller than the sum of its proper divisors (236638208).

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

204968608 is a wasteful number, since it uses less digits than its factorization.

204968608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 204968608 is about 14316.7247651130. The cubic root of 204968608 is about 589.6067550946.

The spelling of 204968608 in words is "two hundred four million, nine hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 169 208 251 302 338 416 502 604 676 1004 1208 1352 1963 2008 2416 2704 3263 3926 4016 4832 5408 6526 7852 8032 13052 15704 25519 26104 31408 37901 42419 51038 52208 62816 75802 84838 102076 104416 151604 169676 204152 303208 339352 408304 492713 606416 678704 816608 985426 1212832 1357408 1970852 3941704 6405269 7883408 12810538 15766816 25621076 51242152 102484304 204968608