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400889892 = 2231319314363
BaseRepresentation
bin10111111001010…
…001100000100100
31000221100022112210
4113321101200210
51310111434032
6103440243420
712635336124
oct2771214044
91027308483
10400889892
11196323567
12b2310570
1365093670
143b356c84
15252dc2cc
hex17e51824

400889892 has 96 divisors (see below), whose sum is σ = 1094840320. Its totient is φ = 113063040.

The previous prime is 400889843. The next prime is 400889897. The reversal of 400889892 is 298988004.

It is not an unprimeable number, because it can be changed into a prime (400889897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89703 + ... + 94065.

Almost surely, 2400889892 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 400889892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547420160).

400889892 is an abundant number, since it is smaller than the sum of its proper divisors (693950428).

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

400889892 is a wasteful number, since it uses less digits than its factorization.

400889892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 400889892 is about 20022.2349401859. The cubic root of 400889892 is about 737.3522933916.

The spelling of 400889892 in words is "four hundred million, eight hundred eighty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 186 228 247 372 403 494 589 741 806 988 1178 1209 1482 1612 1767 2356 2418 2964 3534 4363 4836 7068 7657 8726 13089 15314 17452 22971 26178 30628 45942 52356 56719 82897 91884 113438 135253 165794 170157 226876 248691 270506 331588 340314 405759 497382 541012 680628 811518 994764 1077661 1623036 1758289 2155322 2569807 3232983 3516578 4310644 5139614 5274867 6465966 7033156 7709421 10279228 10549734 12931932 15418842 21099468 30837684 33407491 66814982 100222473 133629964 200444946 400889892