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542088 = 23327529
BaseRepresentation
bin10000100010110001000
31000112121100
42010112020
5114321323
615341400
74415301
oct2042610
91015540
10542088
11340308
12221860
1315c981
141017a8
15aa943
hex84588

542088 has 24 divisors (see below), whose sum is σ = 1468350. Its totient is φ = 180672.

The previous prime is 542083. The next prime is 542093. The reversal of 542088 is 880245.

It is an interprime number because it is at equal distance from previous prime (542083) and next prime (542093).

It can be written as a sum of positive squares in only one way, i.e., 492804 + 49284 = 702^2 + 222^2 .

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (542081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3693 + ... + 3836.

2542088 is an apocalyptic number.

It is an amenable number.

542088 is an abundant number, since it is smaller than the sum of its proper divisors (926262).

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

542088 is a wasteful number, since it uses less digits than its factorization.

542088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7541 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 542088 is about 736.2662561873. The cubic root of 542088 is about 81.5373509903.

The spelling of 542088 in words is "five hundred forty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7529 15058 22587 30116 45174 60232 67761 90348 135522 180696 271044 542088