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5875104 = 253193221
BaseRepresentation
bin10110011010010110100000
3102001111010110
4112122112200
53001000404
6325531320
7100636404
oct26322640
912044113
105875104
113353064
121b73b40
1312a91c1
14acd104
157b0b89
hex59a5a0

5875104 has 48 divisors (see below), whose sum is σ = 16238880. Its totient is φ = 1854720.

The previous prime is 5875087. The next prime is 5875109. The reversal of 5875104 is 4015785.

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

It is not an unprimeable number, because it can be changed into a prime (5875109) 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, 214 + ... + 3434.

It is an arithmetic number, because the mean of its divisors is an integer number (338310).

Almost surely, 25875104 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 5875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119440).

5875104 is an abundant number, since it is smaller than the sum of its proper divisors (10363776).

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

5875104 is a wasteful number, since it uses less digits than its factorization.

5875104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 5875104 is about 2423.8613821751. The cubic root of 5875104 is about 180.4423687323.

The spelling of 5875104 in words is "five million, eight hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3221 6442 9663 12884 19326 25768 38652 51536 61199 77304 103072 122398 154608 183597 244796 309216 367194 489592 734388 979184 1468776 1958368 2937552 5875104