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40965756 = 223133143197
BaseRepresentation
bin1001110001000…
…1011001111100
32212002021110020
42130101121330
540441401011
64022012140
71005126456
oct234213174
985067406
1040965756
11211401a7
1211877050
1386442c0
1456252d6
1538e3006
hex271167c

40965756 has 96 divisors (see below), whose sum is σ = 109283328. Its totient is φ = 11854080.

The previous prime is 40965751. The next prime is 40965763. The reversal of 40965756 is 65756904.

40965756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40965751) 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, 207850 + ... + 208046.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 240965756 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 40965756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54641664).

40965756 is an abundant number, since it is smaller than the sum of its proper divisors (68317572).

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

40965756 is a wasteful number, since it uses less digits than its factorization.

40965756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 40965756 is about 6400.4496717028. The cubic root of 40965756 is about 344.7256966880.

The spelling of 40965756 in words is "forty million, nine hundred sixty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 43 52 62 78 86 93 124 129 156 172 186 197 258 372 394 403 516 559 591 788 806 1118 1182 1209 1333 1612 1677 2236 2364 2418 2561 2666 3354 3999 4836 5122 5332 6107 6708 7683 7998 8471 10244 12214 15366 15996 16942 17329 18321 24428 25413 30732 33884 34658 36642 50826 51987 69316 73284 79391 101652 103974 110123 158782 207948 220246 238173 262601 317564 330369 440492 476346 525202 660738 787803 952692 1050404 1321476 1575606 3151212 3413813 6827626 10241439 13655252 20482878 40965756