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542540328 = 233114434639
BaseRepresentation
bin100000010101101…
…000001000101000
31101210212220102020
4200111220020220
52102342242303
6125500304440
716305342141
oct4025501050
91353786366
10542540328
11259282640
12131842120
138852aca5
14520aaac8
153296ca53
hex20568228

542540328 has 64 divisors (see below), whose sum is σ = 1483315200. Its totient is φ = 163999680.

The previous prime is 542540311. The next prime is 542540359. The reversal of 542540328 is 823045245.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114633 + ... + 119271.

It is an arithmetic number, because the mean of its divisors is an integer number (23176800).

Almost surely, 2542540328 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 542540328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741657600).

542540328 is an abundant number, since it is smaller than the sum of its proper divisors (940774872).

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

542540328 is a wasteful number, since it uses less digits than its factorization.

542540328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 542540328 is about 23292.4951003537. The cubic root of 542540328 is about 815.6002343062.

It can be divided in two parts, 5425 and 40328, that added together give a triangular number (45753 = T302).

The spelling of 542540328 in words is "five hundred forty-two million, five hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 443 886 1329 1772 2658 3544 4639 4873 5316 9278 9746 10632 13917 14619 18556 19492 27834 29238 37112 38984 51029 55668 58476 102058 111336 116952 153087 204116 306174 408232 612348 1224696 2055077 4110154 6165231 8220308 12330462 16440616 22605847 24660924 45211694 49321848 67817541 90423388 135635082 180846776 271270164 542540328