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5857408 = 2767683
BaseRepresentation
bin10110010110000010000000
3102000120212001
4112112002000
52444414113
6325313344
7100533664
oct26260200
912016761
105857408
113340837
121b65854
1312a112b
14ac68a4
157aa7dd
hex596080

5857408 has 32 divisors (see below), whose sum is σ = 11860560. Its totient is φ = 2880768.

The previous prime is 5857399. The next prime is 5857409. The reversal of 5857408 is 8047585.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (5857409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8235 + ... + 8917.

Almost surely, 25857408 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 5857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930280).

5857408 is an abundant number, since it is smaller than the sum of its proper divisors (6003152).

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

5857408 is an equidigital number, since it uses as much as digits as its factorization.

5857408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 5857408 is about 2420.2082555020. The cubic root of 5857408 is about 180.2610204846.

The spelling of 5857408 in words is "five million, eight hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 683 1072 1366 2144 2732 4288 5464 8576 10928 21856 43712 45761 87424 91522 183044 366088 732176 1464352 2928704 5857408