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40988904 = 23311179133
BaseRepresentation
bin1001110001011…
…1000011101000
32212010110012120
42130113003220
540443121104
64022311240
71005254115
oct234270350
985113176
1040988904
1121156630
1211888520
1386519b8
14562d90c
1538e9cd9
hex27170e8

40988904 has 64 divisors (see below), whose sum is σ = 118376640. Its totient is φ = 11688960.

The previous prime is 40988891. The next prime is 40988917.

40988904 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40988891) and next prime (40988917).

It is a super-2 number, since 2×409889042 = 3360180502242432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79 + ... + 9054.

It is an arithmetic number, because the mean of its divisors is an integer number (1849635).

Almost surely, 240988904 is an apocalyptic number.

40988904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40988904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59188320).

40988904 is an abundant number, since it is smaller than the sum of its proper divisors (77387736).

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

40988904 is a wasteful number, since it uses less digits than its factorization.

40988904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9170 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 40988904 is about 6402.2577267711. The cubic root of 40988904 is about 344.7906143874.

The spelling of 40988904 in words is "forty million, nine hundred eighty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 9133 18266 27399 36532 54798 73064 100463 109596 155261 200926 219192 301389 310522 401852 465783 602778 621044 803704 931566 1205556 1242088 1707871 1863132 2411112 3415742 3726264 5123613 6831484 10247226 13662968 20494452 40988904