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5812896 = 253151401
BaseRepresentation
bin10110001011001010100000
3101221022210110
4112023022200
52442003041
6324331320
7100260135
oct26131240
911838713
105812896
113310351
121b43b40
131286aab
14ab458c
1579c516
hex58b2a0

5812896 has 48 divisors (see below), whose sum is σ = 15398208. Its totient is φ = 1920000.

The previous prime is 5812889. The next prime is 5812907. The reversal of 5812896 is 6982185.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14296 + ... + 14696.

It is an arithmetic number, because the mean of its divisors is an integer number (320796).

Almost surely, 25812896 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 5812896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699104).

5812896 is an abundant number, since it is smaller than the sum of its proper divisors (9585312).

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

5812896 is a wasteful number, since it uses less digits than its factorization.

5812896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 5812896 is about 2410.9948154237. The cubic root of 5812896 is about 179.8032417919.

The spelling of 5812896 in words is "five million, eight hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 401 453 604 802 906 1203 1208 1604 1812 2406 2416 3208 3624 4812 4832 6416 7248 9624 12832 14496 19248 38496 60551 121102 181653 242204 363306 484408 726612 968816 1453224 1937632 2906448 5812896