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540552961 = 131710323747
BaseRepresentation
bin100000001110000…
…010111100000001
31101200010221021001
4200032002330001
52101340143321
6125345532001
716252424104
oct4016027401
91350127231
10540552961
11258145493
12131044001
1387cb3530
1451b1073b
15326c8c91
hex20382f01

540552961 has 16 divisors (see below), whose sum is σ = 622387584. Its totient is φ = 465041664.

The previous prime is 540552959. The next prime is 540552973. The reversal of 540552961 is 169255045.

It is not a de Polignac number, because 540552961 - 21 = 540552959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540552961.

It is not an unprimeable number, because it can be changed into a prime (540552911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10890 + ... + 34636.

It is an arithmetic number, because the mean of its divisors is an integer number (38899224).

Almost surely, 2540552961 is an apocalyptic number.

It is an amenable number.

540552961 is a deficient number, since it is larger than the sum of its proper divisors (81834623).

540552961 is a wasteful number, since it uses less digits than its factorization.

540552961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23880.

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 540552961 is about 23249.7948593100. The cubic root of 540552961 is about 814.6031470229.

The spelling of 540552961 in words is "five hundred forty million, five hundred fifty-two thousand, nine hundred sixty-one".

Divisors: 1 13 17 103 221 1339 1751 22763 23747 308711 403699 2445941 5248087 31797233 41580997 540552961