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542253456 = 243213927091
BaseRepresentation
bin100000010100100…
…010000110010000
31101210100022220100
4200110202012100
52102304102311
6125450212400
716303035603
oct4024420620
91353308810
10542253456
112590a7058
12131724100
138845a544
145203433a
1532912a56
hex20522190

542253456 has 60 divisors (see below), whose sum is σ = 1528530640. Its totient is φ = 179444160.

The previous prime is 542253443. The next prime is 542253487. The reversal of 542253456 is 654352245.

542253456 is a `hidden beast` number, since 54 + 22 + 534 + 56 = 666.

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 542253456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6471 + ... + 33561.

Almost surely, 2542253456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542253456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764265320).

542253456 is an abundant number, since it is smaller than the sum of its proper divisors (986277184).

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

542253456 is a wasteful number, since it uses less digits than its factorization.

542253456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27244 (or 27235 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 542253456 is about 23286.3362511152. The cubic root of 542253456 is about 815.4564575160.

The spelling of 542253456 in words is "five hundred forty-two million, two hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 27091 54182 81273 108364 162546 216728 243819 325092 433456 487638 650184 975276 1300368 1950552 3765649 3901104 7531298 11296947 15062596 22593894 30125192 33890841 45187788 60250384 67781682 90375576 135563364 180751152 271126728 542253456