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40638696 = 2337713407
BaseRepresentation
bin1001101100000…
…1100011101000
32211110122210220
42123001203220
540400414241
64011010040
71002265110
oct233014350
984418726
1040638696
1120a374aa
1211739920
13855b487
14557c040
15387b166
hex26c18e8

40638696 has 64 divisors (see below), whose sum is σ = 117780480. Its totient is φ = 11444160.

The previous prime is 40638673. The next prime is 40638727. The reversal of 40638696 is 69683604.

It is a super-2 number, since 2×406386962 = 3303007225160832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 10225 + ... + 13631.

It is an arithmetic number, because the mean of its divisors is an integer number (1840320).

Almost surely, 240638696 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 40638696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58890240).

40638696 is an abundant number, since it is smaller than the sum of its proper divisors (77141784).

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

40638696 is a wasteful number, since it uses less digits than its factorization.

40638696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 40638696 is about 6374.8487040870. The cubic root of 40638696 is about 343.8058441064.

The spelling of 40638696 in words is "forty million, six hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3407 3976 5964 6814 10221 11928 13628 20442 23849 27256 40884 47698 71547 81768 95396 143094 190792 241897 286188 483794 572376 725691 967588 1451382 1693279 1935176 2902764 3386558 5079837 5805528 6773116 10159674 13546232 20319348 40638696