Search a number
-
+
5608488256 = 26723121861
BaseRepresentation
bin1010011100100101…
…01011110101000000
3112110212100201112021
411032102223311000
542441233111011
62324305211224
7255661235500
oct51622536500
915425321467
105608488256
112418933268
121106330b14
136b4c39c07
143b2c17a00
1522c59e471
hex14e4abd40

5608488256 has 126 divisors (see below), whose sum is σ = 13384664874. Its totient is φ = 2324851200.

The previous prime is 5608488251. The next prime is 5608488293. The reversal of 5608488256 is 6528848065.

It can be written as a sum of positive squares in only one way, i.e., 2896161856 + 2712326400 = 53816^2 + 52080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5608488251) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3012766 + ... + 3014626.

It is an arithmetic number, because the mean of its divisors is an integer number (106227499).

Almost surely, 25608488256 is an apocalyptic number.

5608488256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5608488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692332437).

5608488256 is an abundant number, since it is smaller than the sum of its proper divisors (7776176618).

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

5608488256 is a wasteful number, since it uses less digits than its factorization.

5608488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The square root of 5608488256 is about 74889.8408063470. The cubic root of 5608488256 is about 1776.7047834498.

The spelling of 5608488256 in words is "five billion, six hundred eight million, four hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 392 434 448 496 784 868 961 992 1519 1568 1736 1861 1922 1984 3038 3136 3472 3722 3844 6076 6727 6944 7444 7688 12152 13027 13454 13888 14888 15376 24304 26054 26908 29776 30752 47089 48608 52108 53816 57691 59552 61504 91189 94178 97216 104216 107632 115382 119104 182378 188356 208432 215264 230764 364756 376712 403837 416864 430528 461528 729512 753424 807674 833728 923056 1459024 1506848 1615348 1788421 1846112 2826859 2918048 3013696 3230696 3576842 3692224 5653718 5836096 6461392 7153684 11307436 12518947 12922784 14307368 22614872 25037894 25845568 28614736 45229744 50075788 57229472 87632629 90459488 100151576 114458944 175265258 180918976 200303152 350530516 400606304 701061032 801212608 1402122064 2804244128 5608488256