Search a number
-
+
400493688 = 23372383891
BaseRepresentation
bin10111110111110…
…000110001111000
31000220121012001120
4113313300301320
51310011244223
6103423545240
712632066040
oct2767606170
91026535046
10400493688
11196082921
12b215b220
1364c8521a
143b292720
152525ebe3
hex17df0c78

400493688 has 32 divisors (see below), whose sum is σ = 1144268160. Its totient is φ = 114426720.

The previous prime is 400493677. The next prime is 400493689. The reversal of 400493688 is 886394004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400493689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191778 + ... + 1192113.

It is an arithmetic number, because the mean of its divisors is an integer number (35758380).

Almost surely, 2400493688 is an apocalyptic number.

It is an amenable number.

400493688 is an abundant number, since it is smaller than the sum of its proper divisors (743774472).

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

400493688 is a wasteful number, since it uses less digits than its factorization.

400493688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383907 (or 2383903 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 400493688 is about 20012.3383941008. The cubic root of 400493688 is about 737.1093021288.

The spelling of 400493688 in words is "four hundred million, four hundred ninety-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2383891 4767782 7151673 9535564 14303346 16687237 19071128 28606692 33374474 50061711 57213384 66748948 100123422 133497896 200246844 400493688