[go: up one dir, main page]

Search a number
-
+
5088096 = 253413151
BaseRepresentation
bin10011011010001101100000
3100120111120000
4103122031200
52300304341
6301020000
761151046
oct23321540
910514500
105088096
112965842
121854600
131091c10
14966396
156a78b6
hex4da360

5088096 has 120 divisors (see below), whose sum is σ = 16221744. Its totient is φ = 1555200.

The previous prime is 5088089. The next prime is 5088113. The reversal of 5088096 is 6908805.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5088096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33621 + ... + 33771.

Almost surely, 25088096 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 5088096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110872).

5088096 is an abundant number, since it is smaller than the sum of its proper divisors (11133648).

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

5088096 is a wasteful number, since it uses less digits than its factorization.

5088096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5088096 is about 2255.6808284862. The cubic root of 5088096 is about 171.9960338007.

The spelling of 5088096 in words is "five million, eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 151 156 162 208 216 234 288 302 312 324 351 416 432 453 468 604 624 648 702 864 906 936 1053 1208 1248 1296 1359 1404 1812 1872 1963 2106 2416 2592 2718 2808 3624 3744 3926 4077 4212 4832 5436 5616 5889 7248 7852 8154 8424 10872 11232 11778 12231 14496 15704 16308 16848 17667 21744 23556 24462 31408 32616 33696 35334 43488 47112 48924 53001 62816 65232 70668 94224 97848 106002 130464 141336 159003 188448 195696 212004 282672 318006 391392 424008 565344 636012 848016 1272024 1696032 2544048 5088096