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41057984 = 261158321
BaseRepresentation
bin1001110010011…
…1111011000000
32212020221222002
42130213323000
541002323414
64024003132
71005662402
oct234477300
985227862
1041057984
11211a3520
12119004a8
138677286
14564ab72
1539104de
hex2727ec0

41057984 has 28 divisors (see below), whose sum is σ = 88882728. Its totient is φ = 18662400.

The previous prime is 41057969. The next prime is 41057999. The reversal of 41057984 is 48975014.

41057984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41057969) and next prime (41057999).

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 3 ways as a sum of consecutive naturals, for example, 28457 + ... + 29864.

Almost surely, 241057984 is an apocalyptic number.

41057984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41057984 is an abundant number, since it is smaller than the sum of its proper divisors (47824744).

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

41057984 is a wasteful number, since it uses less digits than its factorization.

41057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58344 (or 58334 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 41057984 is about 6407.6504274188. The cubic root of 41057984 is about 344.9842014750.

The spelling of 41057984 in words is "forty-one million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 58321 116642 233284 466568 641531 933136 1283062 1866272 2566124 3732544 5132248 10264496 20528992 41057984