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5864352 = 2531337127
BaseRepresentation
bin10110010111101110100000
3102000221101020
4112113232200
53000124402
6325405440
7100563144
oct26275640
912027336
105864352
113345a7a
121b69880
1312a4340
14ac9224
157ac8bc
hex597ba0

5864352 has 96 divisors (see below), whose sum is σ = 17160192. Its totient is φ = 1741824.

The previous prime is 5864347. The next prime is 5864401. The reversal of 5864352 is 2534685.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46113 + ... + 46239.

It is an arithmetic number, because the mean of its divisors is an integer number (178752).

Almost surely, 25864352 is an apocalyptic number.

5864352 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 5864352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580096).

5864352 is an abundant number, since it is smaller than the sum of its proper divisors (11295840).

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

5864352 is a wasteful number, since it uses less digits than its factorization.

5864352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5864352 is about 2421.6424178644. The cubic root of 5864352 is about 180.3322259396.

It can be divided in two parts, 5864 and 352, that added together give a triangular number (6216 = T111).

The spelling of 5864352 in words is "five million, eight hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 127 148 156 208 222 254 296 312 381 416 444 481 508 592 624 762 888 962 1016 1184 1248 1443 1524 1651 1776 1924 2032 2886 3048 3302 3552 3848 4064 4699 4953 5772 6096 6604 7696 9398 9906 11544 12192 13208 14097 15392 18796 19812 23088 26416 28194 37592 39624 46176 52832 56388 61087 75184 79248 112776 122174 150368 158496 183261 225552 244348 366522 451104 488696 733044 977392 1466088 1954784 2932176 5864352