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52657540 = 22513202529
BaseRepresentation
bin1100100011011…
…1110110000100
310200002021120021
43020313312010
5101440020130
65120344524
71206403345
oct310676604
9120067507
1052657540
11277a6431
1215775144
13aba8c10
146dca0cc
15495237a
hex3237d84

52657540 has 24 divisors (see below), whose sum is σ = 119087640. Its totient is φ = 19442688.

The previous prime is 52657537. The next prime is 52657547. The reversal of 52657540 is 4575625.

52657540 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 4 ways, for example, as 1763584 + 50893956 = 1328^2 + 7134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52657496 and 52657505.

It is not an unprimeable number, because it can be changed into a prime (52657547) 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 7 ways as a sum of consecutive naturals, for example, 101005 + ... + 101524.

It is an arithmetic number, because the mean of its divisors is an integer number (4961985).

Almost surely, 252657540 is an apocalyptic number.

It is an amenable number.

52657540 is an abundant number, since it is smaller than the sum of its proper divisors (66430100).

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

52657540 is a wasteful number, since it uses less digits than its factorization.

52657540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202551 (or 202549 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 52657540 is about 7256.5515225898. The cubic root of 52657540 is about 374.8177840665.

The spelling of 52657540 in words is "fifty-two million, six hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 202529 405058 810116 1012645 2025290 2632877 4050580 5265754 10531508 13164385 26328770 52657540