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5874752 = 261323307
BaseRepresentation
bin10110011010010001000000
3102001110122102
4112122101000
53000443002
6325525532
7100635362
oct26322100
912043572
105874752
113352874
121b738a8
1312a8cb0
14accd32
157b0a02
hex59a440

5874752 has 56 divisors (see below), whose sum is σ = 13142976. Its totient is φ = 2585088.

The previous prime is 5874751. The next prime is 5874769. The reversal of 5874752 is 2574785.

It is a super-2 number, since 2×58747522 = 69025422123008, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 56 + 82 + 77 + 411 + 77 + 56 + 211 .

It is not an unprimeable number, because it can be changed into a prime (5874751) 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, 18983 + ... + 19289.

It is an arithmetic number, because the mean of its divisors is an integer number (234696).

Almost surely, 25874752 is an apocalyptic number.

5874752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571488).

5874752 is an abundant number, since it is smaller than the sum of its proper divisors (7268224).

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

5874752 is a wasteful number, since it uses less digits than its factorization.

5874752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its digits is 78400, while the sum is 38.

The square root of 5874752 is about 2423.7887696745. The cubic root of 5874752 is about 180.4387649957.

The spelling of 5874752 in words is "five million, eight hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 307 368 416 598 614 736 832 1196 1228 1472 2392 2456 3991 4784 4912 7061 7982 9568 9824 14122 15964 19136 19648 28244 31928 56488 63856 91793 112976 127712 183586 225952 255424 367172 451904 734344 1468688 2937376 5874752