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5258592 = 253219312
BaseRepresentation
bin10100000011110101100000
3100220011102200
4110003311200
52321233332
6304413200
762461113
oct24036540
910804380
105258592
112a71949
121917200
1311216c1
149ac57a
156dd17c
hex503d60

5258592 has 108 divisors (see below), whose sum is σ = 16265340. Its totient is φ = 1607040.

The previous prime is 5258579. The next prime is 5258633. The reversal of 5258592 is 2958525.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169617 + ... + 169647.

It is an arithmetic number, because the mean of its divisors is an integer number (150605).

Almost surely, 25258592 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 5258592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132670).

5258592 is an abundant number, since it is smaller than the sum of its proper divisors (11006748).

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

5258592 is a wasteful number, since it uses less digits than its factorization.

5258592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 55 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 5258592 is about 2293.1620091045. The cubic root of 5258592 is about 173.8960933335.

The spelling of 5258592 in words is "five million, two hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 684 744 912 961 992 1116 1178 1368 1488 1767 1824 1922 2232 2356 2736 2883 2976 3534 3844 4464 4712 5301 5472 5766 7068 7688 8649 8928 9424 10602 11532 14136 15376 17298 18259 18848 21204 23064 28272 30752 34596 36518 42408 46128 54777 56544 69192 73036 84816 92256 109554 138384 146072 164331 169632 219108 276768 292144 328662 438216 584288 657324 876432 1314648 1752864 2629296 5258592