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200639904 = 25312131723
BaseRepresentation
bin10111111010110…
…00010110100000
3111222112120012120
423331120112200
5402330434104
631524224240
74654260663
oct1375302640
9458476176
10200639904
11a328a803
125723b080
133274c64a
141c90b6da
1512933cd9
hexbf585a0

200639904 has 48 divisors (see below), whose sum is σ = 527419872. Its totient is φ = 66786048.

The previous prime is 200639903. The next prime is 200639917. The reversal of 200639904 is 409936002.

200639904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (200639903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115587 + ... + 117309.

It is an arithmetic number, because the mean of its divisors is an integer number (10987914).

Almost surely, 2200639904 is an apocalyptic number.

200639904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200639904 is an abundant number, since it is smaller than the sum of its proper divisors (326779968).

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

200639904 is a wasteful number, since it uses less digits than its factorization.

200639904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 200639904 is about 14164.7415790052. The cubic root of 200639904 is about 585.4265805278.

The spelling of 200639904 in words is "two hundred million, six hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1213 1723 2426 3446 3639 4852 5169 6892 7278 9704 10338 13784 14556 19408 20676 27568 29112 38816 41352 55136 58224 82704 116448 165408 2089999 4179998 6269997 8359996 12539994 16719992 25079988 33439984 50159976 66879968 100319952 200639904