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52552136 = 23713371951
BaseRepresentation
bin1100100001111…
…0000111001000
310122212220222102
43020132013020
5101423132021
65114212532
71205454140
oct310360710
9118786872
1052552136
112773421a
1215724148
13ab6cc50
146d9d920
15493100b
hex321e1c8

52552136 has 64 divisors (see below), whose sum is σ = 124615680. Its totient is φ = 20217600.

The previous prime is 52552133. The next prime is 52552153. The reversal of 52552136 is 63125525.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 52552099 and 52552108.

It is not an unprimeable number, because it can be changed into a prime (52552133) 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 15 ways as a sum of consecutive naturals, for example, 25961 + ... + 27911.

It is an arithmetic number, because the mean of its divisors is an integer number (1947120).

Almost surely, 252552136 is an apocalyptic number.

52552136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52552136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62307840).

52552136 is an abundant number, since it is smaller than the sum of its proper divisors (72063544).

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

52552136 is a wasteful number, since it uses less digits than its factorization.

52552136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2010 counting only the distinct ones).

The product of its digits is 9000, while the sum is 29.

The square root of 52552136 is about 7249.2852061427. The cubic root of 52552136 is about 374.5675275126.

The spelling of 52552136 in words is "fifty-two million, five hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 296 364 481 518 728 962 1036 1924 1951 2072 3367 3848 3902 6734 7804 13468 13657 15608 25363 26936 27314 50726 54628 72187 101452 109256 144374 177541 202904 288748 355082 505309 577496 710164 938431 1010618 1420328 1876862 2021236 3753724 4042472 6569017 7507448 13138034 26276068 52552136