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5259672 = 23321129229
BaseRepresentation
bin10100000100000110011000
3100220012220200
4110010012120
52321302142
6304422200
762464215
oct24040630
910805820
105259672
112a72740
121917960
131122042
149acb0c
156dd64c
hex504198

5259672 has 96 divisors (see below), whose sum is σ = 16146000. Its totient is φ = 1532160.

The previous prime is 5259671. The next prime is 5259689. The reversal of 5259672 is 2769525.

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

It is a d-powerful number, because it can be written as 57 + 26 + 58 + 97 + 65 + 72 + 26 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259671) 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 23 ways as a sum of consecutive naturals, for example, 22854 + ... + 23082.

Almost surely, 25259672 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 5259672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073000).

5259672 is an abundant number, since it is smaller than the sum of its proper divisors (10886328).

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

5259672 is a wasteful number, since it uses less digits than its factorization.

5259672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5259672 is about 2293.3974797230. The cubic root of 5259672 is about 173.9079973391.

The spelling of 5259672 in words is "five million, two hundred fifty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 229 232 261 264 319 348 396 458 522 638 687 696 792 916 957 1044 1276 1374 1832 1914 2061 2088 2519 2552 2748 2871 3828 4122 5038 5496 5742 6641 7557 7656 8244 10076 11484 13282 15114 16488 19923 20152 22671 22968 26564 30228 39846 45342 53128 59769 60456 73051 79692 90684 119538 146102 159384 181368 219153 239076 292204 438306 478152 584408 657459 876612 1314918 1753224 2629836 5259672