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5268672 = 26333049
BaseRepresentation
bin10100000110010011000000
3100220200021000
4110012103000
52322044142
6304532000
762532363
oct24062300
910820230
105268672
112a79482
121921000
131126176
149b20da
156e114c
hex5064c0

5268672 has 56 divisors (see below), whose sum is σ = 15494000. Its totient is φ = 1755648.

The previous prime is 5268671. The next prime is 5268673. The reversal of 5268672 is 2768625.

It is an interprime number because it is at equal distance from previous prime (5268671) and next prime (5268673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5268671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 3252.

Almost surely, 25268672 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 5268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747000).

5268672 is an abundant number, since it is smaller than the sum of its proper divisors (10225328).

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

5268672 is a wasteful number, since it uses less digits than its factorization.

5268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3054 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5268672 is about 2295.3587954827. The cubic root of 5268672 is about 174.0071340713.

The spelling of 5268672 in words is "five million, two hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3049 6098 9147 12196 18294 24392 27441 36588 48784 54882 73176 82323 97568 109764 146352 164646 195136 219528 292704 329292 439056 585408 658584 878112 1317168 1756224 2634336 5268672