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40404992 = 211109181
BaseRepresentation
bin1001101000100…
…0100000000000
32211000210020012
42122020200000
540320424432
64002004052
71000302545
oct232104000
984023205
1040404992
1120897961
1211646628
1384a8ca4
14551abcc
153831cb2
hex2688800

40404992 has 48 divisors (see below), whose sum is σ = 81981900. Its totient is φ = 19906560.

The previous prime is 40404983. The next prime is 40405003. The reversal of 40404992 is 29940404.

It can be written as a sum of positive squares in 2 ways, for example, as 38142976 + 2262016 = 6176^2 + 1504^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223142 + ... + 223322.

Almost surely, 240404992 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 40404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40990950).

40404992 is an abundant number, since it is smaller than the sum of its proper divisors (41576908).

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

40404992 is a wasteful number, since it uses less digits than its factorization.

40404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 40404992 is about 6356.4921143662. The cubic root of 40404992 is about 343.1455266789.

The spelling of 40404992 in words is "forty million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 109 128 181 218 256 362 436 512 724 872 1024 1448 1744 2048 2896 3488 5792 6976 11584 13952 19729 23168 27904 39458 46336 55808 78916 92672 111616 157832 185344 223232 315664 370688 631328 1262656 2525312 5050624 10101248 20202496 40404992