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52679760 = 2435731357
BaseRepresentation
bin1100100011110…
…1010001010000
310200010102001020
43020331101100
5101441223020
65121035440
71206525210
oct310752120
9120112036
1052679760
11278110a1
1215785b80
13abb6073
146dd4240
154958c40
hex323d450

52679760 has 80 divisors (see below), whose sum is σ = 186642816. Its totient is φ = 12040704.

The previous prime is 52679713. The next prime is 52679779. The reversal of 52679760 is 6797625.

It is a happy number.

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

It is a super-2 number, since 2×526797602 = 5550314227315200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13999 + ... + 17358.

Almost surely, 252679760 is an apocalyptic number.

It is an amenable number.

52679760 is an abundant number, since it is smaller than the sum of its proper divisors (133963056).

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

52679760 is a wasteful number, since it uses less digits than its factorization.

52679760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31380 (or 31374 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 52679760 is about 7258.0823913758. The cubic root of 52679760 is about 374.8704975050.

The spelling of 52679760 in words is "fifty-two million, six hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 31357 62714 94071 125428 156785 188142 219499 250856 313570 376284 438998 470355 501712 627140 658497 752568 877996 940710 1097495 1254280 1316994 1505136 1755992 1881420 2194990 2508560 2633988 3292485 3511984 3762840 4389980 5267976 6584970 7525680 8779960 10535952 13169940 17559920 26339880 52679760