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52776252 = 22331074567
BaseRepresentation
bin1100100101010…
…0110100111100
310200022022102000
43021110310330
5102002320002
65123102300
71210406424
oct311246474
9120268360
1052776252
1127877641
1215811990
13ac1ac69
14701b484
15497761c
hex3254d3c

52776252 has 48 divisors (see below), whose sum is σ = 138136320. Its totient is φ = 17423856.

The previous prime is 52776233. The next prime is 52776257. The reversal of 52776252 is 25267725.

52776252 is a `hidden beast` number, since 5 + 27 + 7 + 625 + 2 = 666.

52776252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×527762523 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52776257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9273 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (2877840).

Almost surely, 252776252 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 52776252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69068160).

52776252 is an abundant number, since it is smaller than the sum of its proper divisors (85360068).

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

52776252 is a wasteful number, since it uses less digits than its factorization.

52776252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4679 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 52776252 is about 7264.7265605802. The cubic root of 52776252 is about 375.0992377360.

The spelling of 52776252 in words is "fifty-two million, seven hundred seventy-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 4567 5778 9134 11556 13701 18268 27402 41103 54804 82206 123309 164412 246618 488669 493236 977338 1466007 1954676 2932014 4398021 5864028 8796042 13194063 17592084 26388126 52776252