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653225652 = 223218145157
BaseRepresentation
bin100110111011110…
…110111010110100
31200112011022010200
4212323312322310
52314211210102
6144452520500
722121216652
oct4673667264
91615138120
10653225652
11305802112
12162920130
13a5443271
1462a7ddd2
153c53351c
hex26ef6eb4

653225652 has 18 divisors (see below), whose sum is σ = 1651209378. Its totient is φ = 217741872.

The previous prime is 653225647. The next prime is 653225669. The reversal of 653225652 is 256522356.

653225652 is a `hidden beast` number, since 65 + 32 + 2 + 565 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 551498256 + 101727396 = 23484^2 + 10086^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 18145157 = 653225652 / (6 + 5 + 3 + 2 + 2 + 5 + 6 + 5 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9072543 + ... + 9072614.

Almost surely, 2653225652 is an apocalyptic number.

It is an amenable number.

653225652 is an abundant number, since it is smaller than the sum of its proper divisors (997983726).

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

653225652 is a wasteful number, since it uses less digits than its factorization.

653225652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18145167 (or 18145162 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 653225652 is about 25558.2795195608. The cubic root of 653225652 is about 867.6696574002.

The spelling of 653225652 in words is "six hundred fifty-three million, two hundred twenty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 18145157 36290314 54435471 72580628 108870942 163306413 217741884 326612826 653225652