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40636992 = 2631171271
BaseRepresentation
bin1001101100000…
…1001001000000
32211110120110210
42123001021000
540400340432
64010554120
71002260124
oct233011100
984416423
1040636992
1120a361a0
1211738940
13855a776
14557b584
15387a8cc
hex26c1240

40636992 has 112 divisors (see below), whose sum is σ = 119384064. Its totient is φ = 12096000.

The previous prime is 40636979. The next prime is 40636997. The reversal of 40636992 is 29963604.

It is a happy number.

It is a super-3 number, since 3×406369923 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40636992.

It is not an unprimeable number, because it can be changed into a prime (40636997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149817 + ... + 150087.

Almost surely, 240636992 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 40636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59692032).

40636992 is an abundant number, since it is smaller than the sum of its proper divisors (78747072).

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

40636992 is a wasteful number, since it uses less digits than its factorization.

40636992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 40636992 is about 6374.7150524553. The cubic root of 40636992 is about 343.8010387246.

The spelling of 40636992 in words is "forty million, six hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 271 284 352 426 528 542 568 704 781 813 852 1056 1084 1136 1562 1626 1704 2112 2168 2272 2343 2981 3124 3252 3408 4336 4544 4686 5962 6248 6504 6816 8672 8943 9372 11924 12496 13008 13632 17344 17886 18744 19241 23848 24992 26016 35772 37488 38482 47696 49984 52032 57723 71544 74976 76964 95392 115446 143088 149952 153928 190784 211651 230892 286176 307856 423302 461784 572352 615712 634953 846604 923568 1231424 1269906 1693208 1847136 2539812 3386416 3694272 5079624 6772832 10159248 13545664 20318496 40636992