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40968288 = 253347417
BaseRepresentation
bin1001110001001…
…0000001100000
32212002101221000
42130102001200
540441441123
64022032000
71005140034
oct234220140
985071830
1040968288
1121142099
1211878600
1386454ba
1456261c4
1538e3b43
hex2712060

40968288 has 48 divisors (see below), whose sum is σ = 119493360. Its totient is φ = 13655808.

The previous prime is 40968281. The next prime is 40968331. The reversal of 40968288 is 88286904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40968281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22845 + ... + 24572.

It is an arithmetic number, because the mean of its divisors is an integer number (2489445).

Almost surely, 240968288 is an apocalyptic number.

40968288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40968288 is an abundant number, since it is smaller than the sum of its proper divisors (78525072).

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

40968288 is a wasteful number, since it uses less digits than its factorization.

40968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47436 (or 47422 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 40968288 is about 6400.6474672489. The cubic root of 40968288 is about 344.7327987781.

The spelling of 40968288 in words is "forty million, nine hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 47417 94834 142251 189668 284502 379336 426753 569004 758672 853506 1138008 1280259 1517344 1707012 2276016 2560518 3414024 4552032 5121036 6828048 10242072 13656096 20484144 40968288