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52857152 = 261097577
BaseRepresentation
bin1100100110100…
…0100101000000
310200110102101022
43021220211000
5102012412102
65124525012
71211164325
oct311504500
9120412338
1052857152
11279223a7
1215850768
13ac48a2a
14703cb4c
1549915a2
hex3268940

52857152 has 28 divisors (see below), whose sum is σ = 105864660. Its totient is φ = 26182656.

The previous prime is 52857137. The next prime is 52857179. The reversal of 52857152 is 25175825.

It can be written as a sum of positive squares in 2 ways, for example, as 13719616 + 39137536 = 3704^2 + 6256^2 .

It is a super-2 number, since 2×528571522 = 5587757035102208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3188 + ... + 10764.

Almost surely, 252857152 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 52857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52932330).

52857152 is an abundant number, since it is smaller than the sum of its proper divisors (53007508).

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

52857152 is a wasteful number, since it uses less digits than its factorization.

52857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7688 counting only the distinct ones).

The product of its digits is 28000, while the sum is 35.

The square root of 52857152 is about 7270.2924287817. The cubic root of 52857152 is about 375.2908013968.

The spelling of 52857152 in words is "fifty-two million, eight hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 7577 15154 30308 60616 121232 242464 484928 825893 1651786 3303572 6607144 13214288 26428576 52857152