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542281536 = 2632941461
BaseRepresentation
bin100000010100101…
…000111101000000
31101210101202102100
4200110220331000
52102311002121
6125450550400
716303213506
oct4024507500
91353352370
10542281536
11259116165
12131738400
138846a264
1452040676
153291b026
hex20528f40

542281536 has 42 divisors (see below), whose sum is σ = 1554353762. Its totient is φ = 180760320.

The previous prime is 542281529. The next prime is 542281561. The reversal of 542281536 is 635182245.

542281536 is a `hidden beast` number, since 5 + 42 + 2 + 81 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 540841536 + 1440000 = 23256^2 + 1200^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 542281536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 470155 + ... + 471306.

Almost surely, 2542281536 is an apocalyptic number.

It is an amenable number.

542281536 is an abundant number, since it is smaller than the sum of its proper divisors (1012072226).

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

542281536 is a wasteful number, since it uses less digits than its factorization.

542281536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941479 (or 941466 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 542281536 is about 23286.9391719908. The cubic root of 542281536 is about 815.4705331122.

The spelling of 542281536 in words is "five hundred forty-two million, two hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 941461 1882922 2824383 3765844 5648766 7531688 8473149 11297532 15063376 16946298 22595064 30126752 33892596 45190128 60253504 67785192 90380256 135570384 180760512 271140768 542281536