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52768440 = 23325236373
BaseRepresentation
bin1100100101001…
…0111010111000
310200021220200200
43021102322320
5102002042230
65123002200
71210344564
oct311227270
9120256620
1052768440
112787178a
1215809360
13ac1753a
1470186a4
154975160
hex3252eb8

52768440 has 96 divisors (see below), whose sum is σ = 178981920. Its totient is φ = 13457664.

The previous prime is 52768433. The next prime is 52768447. The reversal of 52768440 is 4486725.

52768440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52768433) and next prime (52768447).

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

It is a junction number, because it is equal to n+sod(n) for n = 52768395 and 52768404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52768447) 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 23 ways as a sum of consecutive naturals, for example, 5094 + ... + 11466.

It is an arithmetic number, because the mean of its divisors is an integer number (1864395).

Almost surely, 252768440 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 52768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89490960).

52768440 is an abundant number, since it is smaller than the sum of its proper divisors (126213480).

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

52768440 is a wasteful number, since it uses less digits than its factorization.

52768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 52768440 is about 7264.1888741965. The cubic root of 52768440 is about 375.0807292862.

The spelling of 52768440 in words is "fifty-two million, seven hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 6373 8280 12746 19119 25492 31865 38238 50984 57357 63730 76476 95595 114714 127460 146579 152952 191190 229428 254920 286785 293158 382380 439737 458856 573570 586316 732895 764760 879474 1147140 1172632 1319211 1465790 1758948 2198685 2294280 2638422 2931580 3517896 4397370 5276844 5863160 6596055 8794740 10553688 13192110 17589480 26384220 52768440