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542952 = 23327541
BaseRepresentation
bin10000100100011101000
31000120210100
42010203220
5114333302
615345400
74420644
oct2044350
91016710
10542952
11340a23
12222260
13160197
14101c24
15aad1c
hex848e8

542952 has 24 divisors (see below), whose sum is σ = 1470690. Its totient is φ = 180960.

The previous prime is 542951. The next prime is 542981. The reversal of 542952 is 259245.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 15876 = 726^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (542951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3699 + ... + 3842.

2542952 is an apocalyptic number.

It is an amenable number.

542952 is an abundant number, since it is smaller than the sum of its proper divisors (927738).

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

542952 is a wasteful number, since it uses less digits than its factorization.

542952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7546 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 542952 is about 736.8527668402. The cubic root of 542952 is about 81.5806470829.

The spelling of 542952 in words is "five hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7541 15082 22623 30164 45246 60328 67869 90492 135738 180984 271476 542952