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52357680 = 2432572719
BaseRepresentation
bin1100011110111…
…0101000110000
310122112001020100
43013232220300
5101400421210
65110112400
71204014204
oct307565060
9118461210
1052357680
1127611111
121564b700
13ab0259b
146d4cb04
1548e35c0
hex31eea30

52357680 has 60 divisors (see below), whose sum is σ = 175836960. Its totient is φ = 13961856.

The previous prime is 52357649. The next prime is 52357699. The reversal of 52357680 is 8675325.

52357680 is a `hidden beast` number, since 5 + 2 + 3 + 576 + 80 = 666.

52357680 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 (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 35640 + ... + 37079.

It is an arithmetic number, because the mean of its divisors is an integer number (2930616).

Almost surely, 252357680 is an apocalyptic number.

It is an amenable number.

52357680 is an abundant number, since it is smaller than the sum of its proper divisors (123479280).

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

52357680 is a wasteful number, since it uses less digits than its factorization.

52357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72738 (or 72729 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 52357680 is about 7235.8606951765. The cubic root of 52357680 is about 374.1049587694.

The spelling of 52357680 in words is "fifty-two million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 72719 145438 218157 290876 363595 436314 581752 654471 727190 872628 1090785 1163504 1308942 1454380 1745256 2181570 2617884 2908760 3272355 3490512 4363140 5235768 5817520 6544710 8726280 10471536 13089420 17452560 26178840 52357680