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52062960 = 2435534093
BaseRepresentation
bin1100011010011…
…0101011110000
310121222001221210
43012212223300
5101312003320
65055520120
71201346025
oct306465360
9117861853
1052062960
112742a744
1215529040
13aa2b3b1
146cb354c
1548860e0
hex31a6af0

52062960 has 80 divisors (see below), whose sum is σ = 164480544. Its totient is φ = 13618176.

The previous prime is 52062949. The next prime is 52062973. The reversal of 52062960 is 6926025.

52062960 = T151 + T152 + ... + T680.

52062960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10674 + ... + 14766.

Almost surely, 252062960 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 52062960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82240272).

52062960 is an abundant number, since it is smaller than the sum of its proper divisors (112417584).

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

52062960 is a wasteful number, since it uses less digits than its factorization.

52062960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 52062960 is about 7215.4667208712. The cubic root of 52062960 is about 373.4016952478.

Adding to 52062960 its reverse (6926025), we get a palindrome (58988985).

The spelling of 52062960 in words is "fifty-two million, sixty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4093 4240 6360 8186 12279 12720 16372 20465 24558 32744 40930 49116 61395 65488 81860 98232 122790 163720 196464 216929 245580 327440 433858 491160 650787 867716 982320 1084645 1301574 1735432 2169290 2603148 3253935 3470864 4338580 5206296 6507870 8677160 10412592 13015740 17354320 26031480 52062960