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400040407 = 1324015903
BaseRepresentation
bin10111110110000…
…010000111010111
31000212202011021101
4113312002013113
51304402243112
6103410130531
712625200364
oct2766020727
91025664241
10400040407
111958a3308
12b1b80a47
1364b56b00
143b1b546b
15251c0757
hex17d821d7

400040407 has 12 divisors (see below), whose sum is σ = 434333664. Its totient is φ = 368284800.

The previous prime is 400040393. The next prime is 400040419. The reversal of 400040407 is 704040004.

It is a happy number.

It is not a de Polignac number, because 400040407 - 219 = 399516119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400040507) 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, 64818 + ... + 70720.

It is an arithmetic number, because the mean of its divisors is an integer number (36194472).

Almost surely, 2400040407 is an apocalyptic number.

400040407 is a deficient number, since it is larger than the sum of its proper divisors (34293257).

400040407 is a wasteful number, since it uses less digits than its factorization.

400040407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 400040407 is about 20001.0101494900. The cubic root of 400040407 is about 736.8311090028.

The spelling of 400040407 in words is "four hundred million, forty thousand, four hundred seven".

Divisors: 1 13 169 401 5213 5903 67769 76739 997607 2367103 30772339 400040407