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5088832 = 26737307
BaseRepresentation
bin10011011010011001000000
3100120112120021
4103122121000
52300320312
6301023224
761153150
oct23323100
910515507
105088832
112966351
121854b14
131092358
14966760
156a7c07
hex4da640

5088832 has 56 divisors (see below), whose sum is σ = 11891264. Its totient is φ = 2115072.

The previous prime is 5088823. The next prime is 5088859. The reversal of 5088832 is 2388805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×50888322 = 51792422248448, which contains 22 as substring.

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, 16423 + ... + 16729.

It is an arithmetic number, because the mean of its divisors is an integer number (212344).

Almost surely, 25088832 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 5088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945632).

5088832 is an abundant number, since it is smaller than the sum of its proper divisors (6802432).

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

5088832 is a wasteful number, since it uses less digits than its factorization.

5088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 5088832 is about 2255.8439662353. The cubic root of 5088832 is about 172.0043265542.

The spelling of 5088832 in words is "five million, eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 307 448 518 592 614 1036 1184 1228 2072 2149 2368 2456 4144 4298 4912 8288 8596 9824 11359 16576 17192 19648 22718 34384 45436 68768 79513 90872 137536 159026 181744 318052 363488 636104 726976 1272208 2544416 5088832