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40982496 = 2533147293
BaseRepresentation
bin1001110001010…
…1011111100000
32212010010102020
42130111133200
540442414441
64022221440
71005226332
oct234253740
985103366
1040982496
1121151835
1211884880
13864bac9
14562b452
1538e7e66
hex27157e0

40982496 has 96 divisors (see below), whose sum is σ = 113799168. Its totient is φ = 12894720.

The previous prime is 40982479. The next prime is 40982507. The reversal of 40982496 is 69428904.

40982496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 139726 + ... + 140018.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 240982496 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 40982496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56899584).

40982496 is an abundant number, since it is smaller than the sum of its proper divisors (72816672).

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

40982496 is a wasteful number, since it uses less digits than its factorization.

40982496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 40982496 is about 6401.7572587533. The cubic root of 40982496 is about 344.7726458382.

The spelling of 40982496 in words is "forty million, nine hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 293 372 376 496 564 586 744 752 879 992 1128 1172 1457 1488 1504 1758 2256 2344 2914 2976 3516 4371 4512 4688 5828 7032 8742 9083 9376 11656 13771 14064 17484 18166 23312 27249 27542 28128 34968 36332 41313 46624 54498 55084 69936 72664 82626 108996 110168 139872 145328 165252 217992 220336 290656 330504 426901 435984 440672 661008 853802 871968 1280703 1322016 1707604 2561406 3415208 5122812 6830416 10245624 13660832 20491248 40982496