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653563968 = 2633539643
BaseRepresentation
bin100110111101001…
…001100001000000
31200112210111012220
4212331021201000
52314303021333
6144504051040
722124126211
oct4675114100
91615714186
10653563968
11305a13312
12162a63a80
13a5531255
1462b2b408
153c59d8b3
hex26f49840

653563968 has 56 divisors (see below), whose sum is σ = 1734299808. Its totient is φ = 217214976.

The previous prime is 653563931. The next prime is 653563969. The reversal of 653563968 is 869365356.

It is a self number, because there is not a number n which added to its sum of digits gives 653563968.

It is not an unprimeable number, because it can be changed into a prime (653563969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62955 + ... + 72597.

Almost surely, 2653563968 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 653563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867149904).

653563968 is an abundant number, since it is smaller than the sum of its proper divisors (1080735840).

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

653563968 is a wasteful number, since it uses less digits than its factorization.

653563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 10001 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 51.

The square root of 653563968 is about 25564.8971834428. The cubic root of 653563968 is about 867.8194248729.

The spelling of 653563968 in words is "six hundred fifty-three million, five hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 353 706 1059 1412 2118 2824 4236 5648 8472 9643 11296 16944 19286 22592 28929 33888 38572 57858 67776 77144 115716 154288 231432 308576 462864 617152 925728 1851456 3403979 6807958 10211937 13615916 20423874 27231832 40847748 54463664 81695496 108927328 163390992 217854656 326781984 653563968