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542412576 = 25321883377
BaseRepresentation
bin100000010101001…
…000111100100000
31101210122102011200
4200111020330200
52102324200301
6125453441200
716304300526
oct4025107440
91353572150
10542412576
112591a5662
121317a0200
13884b4ab4
1452076316
1532944c86
hex20548f20

542412576 has 36 divisors (see below), whose sum is σ = 1542486582. Its totient is φ = 180804096.

The previous prime is 542412539. The next prime is 542412581. The reversal of 542412576 is 675214245.

It is a happy number.

542412576 is a `hidden beast` number, since 5 + 42 + 41 + 2 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309056400 + 233356176 = 17580^2 + 15276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5424125762 = 588422805205911552, which contains 22 as substring.

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 542412576.

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, 941401 + ... + 941976.

Almost surely, 2542412576 is an apocalyptic number.

It is an amenable number.

542412576 is an abundant number, since it is smaller than the sum of its proper divisors (1000074006).

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

542412576 is a wasteful number, since it uses less digits than its factorization.

542412576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883393 (or 1883382 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 542412576 is about 23289.7525963674. The cubic root of 542412576 is about 815.5362128040.

The spelling of 542412576 in words is "five hundred forty-two million, four hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1883377 3766754 5650131 7533508 11300262 15067016 16950393 22600524 30134032 33900786 45201048 60268064 67801572 90402096 135603144 180804192 271206288 542412576