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52030368 = 25321321069
BaseRepresentation
bin1100011001111…
…0101110100000
310121220102020200
43012132232200
5101304432433
65055105200
71201152015
oct306365640
9117812220
1052030368
1127408205
1215512200
13aa19600
146ca570c
15487b613
hex319eba0

52030368 has 108 divisors (see below), whose sum is σ = 160368390. Its totient is φ = 15994368.

The previous prime is 52030361. The next prime is 52030409. The reversal of 52030368 is 86303025.

52030368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 25280784 + 26749584 = 5028^2 + 5172^2 .

It is not an unprimeable number, because it can be changed into a prime (52030361) 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 17 ways as a sum of consecutive naturals, for example, 48138 + ... + 49206.

Almost surely, 252030368 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 52030368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80184195).

52030368 is an abundant number, since it is smaller than the sum of its proper divisors (108338022).

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

52030368 is a wasteful number, since it uses less digits than its factorization.

52030368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52030368 is about 7213.2078855389. The cubic root of 52030368 is about 373.3237610924.

The spelling of 52030368 in words is "fifty-two million, thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1069 1248 1352 1521 1872 2028 2138 2704 3042 3207 3744 4056 4276 5408 6084 6414 8112 8552 9621 12168 12828 13897 16224 17104 19242 24336 25656 27794 34208 38484 41691 48672 51312 55588 76968 83382 102624 111176 125073 153936 166764 180661 222352 250146 307872 333528 361322 444704 500292 541983 667056 722644 1000584 1083966 1334112 1445288 1625949 2001168 2167932 2890576 3251898 4002336 4335864 5781152 6503796 8671728 13007592 17343456 26015184 52030368