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52801736 = 23131134493
BaseRepresentation
bin1100100101101…
…1000011001000
310200100121100212
43021123003020
5102004123421
65123420252
71210543631
oct311330310
9120317325
1052801736
11278947a9
1215824688
13ac29740
147026888
15497ee5b
hex325b0c8

52801736 has 32 divisors (see below), whose sum is σ = 107586360. Its totient is φ = 24148992.

The previous prime is 52801733. The next prime is 52801781. The reversal of 52801736 is 63710825.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38316100 + 14485636 = 6190^2 + 3806^2 .

It is a super-2 number, since 2×528017362 = 5576046649227392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52801733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9506 + ... + 13998.

Almost surely, 252801736 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 52801736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53793180).

52801736 is an abundant number, since it is smaller than the sum of its proper divisors (54784624).

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

52801736 is a wasteful number, since it uses less digits than its factorization.

52801736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 52801736 is about 7266.4803034206. The cubic root of 52801736 is about 375.1596025809.

The spelling of 52801736 in words is "fifty-two million, eight hundred one thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 904 1469 2938 4493 5876 8986 11752 17972 35944 58409 116818 233636 467272 507709 1015418 2030836 4061672 6600217 13200434 26400868 52801736