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542725408 = 25171516607
BaseRepresentation
bin100000010110010…
…101010100100000
31101211020022022001
4200112111110200
52102414203113
6125504253344
716310042551
oct4026252440
91354208261
10542725408
112593996a5
12131911254
13885942c4
1452118328
15329a77dd
hex20595520

542725408 has 48 divisors (see below), whose sum is σ = 1139007744. Its totient is φ = 253670400.

The previous prime is 542725399. The next prime is 542725427. The reversal of 542725408 is 804527245.

It is a happy 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, 78841 + ... + 85447.

It is an arithmetic number, because the mean of its divisors is an integer number (23729328).

Almost surely, 2542725408 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 542725408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569503872).

542725408 is an abundant number, since it is smaller than the sum of its proper divisors (596282336).

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

542725408 is a wasteful number, since it uses less digits than its factorization.

542725408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6785 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 542725408 is about 23296.4677150850. The cubic root of 542725408 is about 815.6929672773.

The spelling of 542725408 in words is "five hundred forty-two million, seven hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 151 272 302 544 604 1208 2416 2567 4832 5134 6607 10268 13214 20536 26428 41072 52856 82144 105712 112319 211424 224638 449276 898552 997657 1797104 1995314 3594208 3990628 7981256 15962512 16960169 31925024 33920338 67840676 135681352 271362704 542725408