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5653152 = 2535727
BaseRepresentation
bin10101100100001010100000
3101122012200000
4111210022200
52421400102
6321100000
766023331
oct25441240
911565600
105653152
11321132a
121a87600
13122c17b
14a72288
1576a01c
hex5642a0

5653152 has 72 divisors (see below), whose sum is σ = 16694496. Its totient is φ = 1881792.

The previous prime is 5653133. The next prime is 5653157. The reversal of 5653152 is 2513565.

5653152 is a `hidden beast` number, since 5 + 653 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (5653157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7413 + ... + 8139.

It is an arithmetic number, because the mean of its divisors is an integer number (231868).

Almost surely, 25653152 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 5653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347248).

5653152 is an abundant number, since it is smaller than the sum of its proper divisors (11041344).

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

5653152 is an equidigital number, since it uses as much as digits as its factorization.

5653152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 732 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 5653152 is about 2377.6358005380. The cubic root of 5653152 is about 178.1408639611.

The spelling of 5653152 in words is "five million, six hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 727 864 972 1296 1454 1944 2181 2592 2908 3888 4362 5816 6543 7776 8724 11632 13086 17448 19629 23264 26172 34896 39258 52344 58887 69792 78516 104688 117774 157032 176661 209376 235548 314064 353322 471096 628128 706644 942192 1413288 1884384 2826576 5653152