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5348512 = 251322343
BaseRepresentation
bin10100011001110010100000
3101001201210001
4110121302200
52332123022
6310345344
763314221
oct24316240
911051701
105348512
113023464
12195b254
131153600
149d3248
15709b27
hex519ca0

5348512 has 72 divisors (see below), whose sum is σ = 12174624. Its totient is φ = 2306304.

The previous prime is 5348507. The next prime is 5348531. The reversal of 5348512 is 2158435.

It is a super-2 number, since 2×53485122 = 57213161228288, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124363 + ... + 124405.

It is an arithmetic number, because the mean of its divisors is an integer number (169092).

Almost surely, 25348512 is an apocalyptic number.

5348512 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 5348512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087312).

5348512 is an abundant number, since it is smaller than the sum of its proper divisors (6826112).

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

5348512 is a wasteful number, since it uses less digits than its factorization.

5348512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 5348512 is about 2312.6850196255. The cubic root of 5348512 is about 174.8816832899.

The spelling of 5348512 in words is "five million, three hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 43 46 52 86 92 104 169 172 184 208 299 338 344 368 416 559 598 676 688 736 989 1118 1196 1352 1376 1978 2236 2392 2704 3887 3956 4472 4784 5408 7267 7774 7912 8944 9568 12857 14534 15548 15824 17888 25714 29068 31096 31648 51428 58136 62192 102856 116272 124384 167141 205712 232544 334282 411424 668564 1337128 2674256 5348512