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40637652 = 22311319931
BaseRepresentation
bin1001101100000…
…1010011010100
32211110121101020
42123001103110
540400401102
64011001140
71002262056
oct233012324
984417336
1040637652
1120a36740
12117391b0
13855ab63
14557b8d6
15387abbc
hex26c14d4

40637652 has 48 divisors (see below), whose sum is σ = 106788864. Its totient is φ = 11916000.

The previous prime is 40637629. The next prime is 40637659. The reversal of 40637652 is 25673604.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40637659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874 + ... + 9057.

It is an arithmetic number, because the mean of its divisors is an integer number (2224768).

Almost surely, 240637652 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 40637652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53394432).

40637652 is an abundant number, since it is smaller than the sum of its proper divisors (66151212).

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

40637652 is a wasteful number, since it uses less digits than its factorization.

40637652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 40637652 is about 6374.7668192648. The cubic root of 40637652 is about 343.8028999800.

The spelling of 40637652 in words is "forty million, six hundred thirty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 9931 19862 29793 39724 59586 109241 119172 218482 307861 327723 436964 615722 655446 923583 1231444 1310892 1847166 3386471 3694332 6772942 10159413 13545884 20318826 40637652