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400109904 = 243219146239
BaseRepresentation
bin10111110110010…
…011000101010000
31000212212200121100
4113312103011100
51304412004104
6103411424400
712625610115
oct2766230520
91025780540
10400109904
11195940547
12b1bb5100
1364b7c62c
143b1d290c
15251d6139
hex17d93150

400109904 has 60 divisors (see below), whose sum is σ = 1178694400. Its totient is φ = 126349632.

The previous prime is 400109903. The next prime is 400109911. The reversal of 400109904 is 409901004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400109903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70384 + ... + 75855.

Almost surely, 2400109904 is an apocalyptic number.

It is an amenable number.

400109904 is an abundant number, since it is smaller than the sum of its proper divisors (778584496).

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

400109904 is a wasteful number, since it uses less digits than its factorization.

400109904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146272 (or 146263 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 400109904 is about 20002.7474112933. The cubic root of 400109904 is about 736.8737751816.

The spelling of 400109904 in words is "four hundred million, one hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 146239 292478 438717 584956 877434 1169912 1316151 1754868 2339824 2632302 2778541 3509736 5264604 5557082 7019472 8335623 10529208 11114164 16671246 21058416 22228328 25006869 33342492 44456656 50013738 66684984 100027476 133369968 200054952 400109904