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400888048 = 241110920897
BaseRepresentation
bin10111111001010…
…001000011110000
31000221100020000111
4113321101003300
51310111404143
6103440231104
712635330551
oct2771210360
91027306014
10400888048
11196322140
12b230b494
1365092882
143b356328
15252db99d
hex17e510f0

400888048 has 40 divisors (see below), whose sum is σ = 855146160. Its totient is φ = 180541440.

The previous prime is 400888013. The next prime is 400888057. The reversal of 400888048 is 840888004.

It is a super-2 number, since 2×4008880482 = 321422454058500608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 400888048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8736 + ... + 29632.

It is an arithmetic number, because the mean of its divisors is an integer number (21378654).

Almost surely, 2400888048 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 400888048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427573080).

400888048 is an abundant number, since it is smaller than the sum of its proper divisors (454258112).

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

400888048 is a wasteful number, since it uses less digits than its factorization.

400888048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21025 (or 21019 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 400888048 is about 20022.1888913275. The cubic root of 400888048 is about 737.3511628403.

The spelling of 400888048 in words is "four hundred million, eight hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 4796 9592 19184 20897 41794 83588 167176 229867 334352 459734 919468 1838936 2277773 3677872 4555546 9111092 18222184 25055503 36444368 50111006 100222012 200444024 400888048