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52815204 = 22321328681
BaseRepresentation
bin1100100101111…
…0010101100100
310200101021211200
43021132111210
5102010041304
65124002500
71210631121
oct311362544
9120337750
1052815204
11278a3932
1215830430
13ac32900
14702b748
154983e39
hex325e564

52815204 has 54 divisors (see below), whose sum is σ = 144581346. Its totient is φ = 16248960.

The previous prime is 52815173. The next prime is 52815211. The reversal of 52815204 is 40251825.

It is a happy number.

52815204 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 1664100 + 51151104 = 1290^2 + 7152^2 .

It is an unprimeable number.

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, 1744 + ... + 10424.

Almost surely, 252815204 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 52815204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72290673).

52815204 is an abundant number, since it is smaller than the sum of its proper divisors (91766142).

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

52815204 is a wasteful number, since it uses less digits than its factorization.

52815204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8717 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 52815204 is about 7267.4069653488. The cubic root of 52815204 is about 375.1914968606.

The spelling of 52815204 in words is "fifty-two million, eight hundred fifteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 8681 17362 26043 34724 52086 78129 104172 112853 156258 225706 312516 338559 451412 677118 1015677 1354236 1467089 2031354 2934178 4062708 4401267 5868356 8802534 13203801 17605068 26407602 52815204