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5924064 = 253232683
BaseRepresentation
bin10110100110010011100000
3102010222021210
4112212103200
53004032224
6330550120
7101232216
oct26462340
912128253
105924064
113386923
121b98340
1312c5583
14b02cb6
157c0429
hex5a64e0

5924064 has 48 divisors (see below), whose sum is σ = 16232832. Its totient is φ = 1888128.

The previous prime is 5924063. The next prime is 5924111. The reversal of 5924064 is 4604295.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5924063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (338184).

Almost surely, 25924064 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 5924064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116416).

5924064 is an abundant number, since it is smaller than the sum of its proper divisors (10308768).

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

5924064 is a wasteful number, since it uses less digits than its factorization.

5924064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5924064 is about 2433.9400156947. The cubic root of 5924064 is about 180.9422197873.

It can be divided in two parts, 592 and 4064, that added together give a triangular number (4656 = T96).

The spelling of 5924064 in words is "five million, nine hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 2683 5366 8049 10732 16098 21464 32196 42928 61709 64392 85856 123418 128784 185127 246836 257568 370254 493672 740508 987344 1481016 1974688 2962032 5924064