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40989936 = 24313231163
BaseRepresentation
bin1001110001011…
…1010011110000
32212010111121210
42130113103300
540443134221
64022320120
71005260121
oct234272360
985114553
1040989936
1121157389
1211889040
138652300
145630048
1538ea276
hex27174f0

40989936 has 120 divisors (see below), whose sum is σ = 119087616. Its totient is φ = 12130560.

The previous prime is 40989931. The next prime is 40989943. The reversal of 40989936 is 63998904.

It is a happy number.

40989936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40989931) 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 23 ways as a sum of consecutive naturals, for example, 251391 + ... + 251553.

Almost surely, 240989936 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 40989936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59543808).

40989936 is an abundant number, since it is smaller than the sum of its proper divisors (78097680).

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

40989936 is a wasteful number, since it uses less digits than its factorization.

40989936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 40989936 is about 6402.3383228317. The cubic root of 40989936 is about 344.7935080235.

The spelling of 40989936 in words is "forty million, nine hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 163 169 186 208 248 312 326 338 372 403 489 496 507 624 652 676 744 806 978 1014 1209 1304 1352 1488 1612 1956 2028 2119 2418 2608 2704 3224 3912 4056 4238 4836 5053 5239 6357 6448 7824 8112 8476 9672 10106 10478 12714 15159 15717 16952 19344 20212 20956 25428 27547 30318 31434 33904 40424 41912 50856 55094 60636 62868 65689 80848 82641 83824 101712 110188 121272 125736 131378 165282 197067 220376 242544 251472 262756 330564 394134 440752 525512 661128 788268 853957 1051024 1322256 1576536 1707914 2561871 3153072 3415828 5123742 6831656 10247484 13663312 20494968 40989936