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542051524 = 227216632
BaseRepresentation
bin100000010011110…
…000110011000100
31101202222001220101
4200103300303010
52102231122044
6125442013444
716301235100
oct4023606304
91352861811
10542051524
11258a79373
12131647284
13883b9661
1451dc0900
15328c2cd4
hex204f0cc4

542051524 has 27 divisors (see below), whose sum is σ = 1104125967. Its totient is φ = 232168104.

The previous prime is 542051519. The next prime is 542051533. The reversal of 542051524 is 425150245.

The square root of 542051524 is 23282.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 542051492 and 542051501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 325117 + ... + 326779.

Almost surely, 2542051524 is an apocalyptic number.

542051524 is the 23282-nd square number.

It is an amenable number.

542051524 is an abundant number, since it is smaller than the sum of its proper divisors (562074443).

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

542051524 is an equidigital number, since it uses as much as digits as its factorization.

542051524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The cubic root of 542051524 is about 815.3552212177.

The spelling of 542051524 in words is "five hundred forty-two million, fifty-one thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 1663 3326 6652 11641 23282 46564 81487 162974 325948 2765569 5531138 11062276 19358983 38717966 77435932 135512881 271025762 542051524