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542174272 = 26194310369
BaseRepresentation
bin100000010100001…
…110110001000000
31101210012022021121
4200110032301000
52102244034042
6125444402024
716302256003
oct4024166100
91353168247
10542174272
11259052612
121316a6314
13884304a3
145201353a
15328e9367
hex2050ec40

542174272 has 56 divisors (see below), whose sum is σ = 1158951200. Its totient is φ = 250822656.

The previous prime is 542174261. The next prime is 542174287. The reversal of 542174272 is 272471245.

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, 47104 + ... + 57472.

Almost surely, 2542174272 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 542174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579475600).

542174272 is an abundant number, since it is smaller than the sum of its proper divisors (616776928).

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

542174272 is a wasteful number, since it uses less digits than its factorization.

542174272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10443 (or 10433 counting only the distinct ones).

The product of its digits is 31360, while the sum is 34.

The square root of 542174272 is about 23284.6359645153. The cubic root of 542174272 is about 815.4167625193.

The spelling of 542174272 in words is "five hundred forty-two million, one hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 152 172 304 344 608 688 817 1216 1376 1634 2752 3268 6536 10369 13072 20738 26144 41476 52288 82952 165904 197011 331808 394022 445867 663616 788044 891734 1576088 1783468 3152176 3566936 6304352 7133872 8471473 12608704 14267744 16942946 28535488 33885892 67771784 135543568 271087136 542174272