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542493056 = 2773119531
BaseRepresentation
bin100000010101011…
…100100110000000
31101210210111120102
4200111130212000
52102334234211
6125455301532
716305054260
oct4025344600
91353714512
10542493056
11259250076
1213181a8a8
1388512611
14520977a0
153295da3b
hex2055c980

542493056 has 64 divisors (see below), whose sum is σ = 1275048960. Its totient is φ = 224985600.

The previous prime is 542493047. The next prime is 542493071. The reversal of 542493056 is 650394245.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18011 + ... + 37541.

It is an arithmetic number, because the mean of its divisors is an integer number (19922640).

Almost surely, 2542493056 is an apocalyptic number.

542493056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637524480).

542493056 is an abundant number, since it is smaller than the sum of its proper divisors (732555904).

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

542493056 is a wasteful number, since it uses less digits than its factorization.

542493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19583 (or 19571 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 542493056 is about 23291.4803307991. The cubic root of 542493056 is about 815.5765456376.

The spelling of 542493056 in words is "five hundred forty-two million, four hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 19531 27776 39062 78124 136717 156248 273434 312496 546868 605461 624992 1093736 1210922 1249984 2187472 2421844 2499968 4238227 4374944 4843688 8476454 8749888 9687376 16952908 17499776 19374752 33905816 38749504 67811632 77499008 135623264 271246528 542493056