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272608542 = 232193732137
BaseRepresentation
bin10000001111111…
…010110100011110
3200222221221121200
4100033322310132
51024241433132
643014540330
76520064043
oct2017726436
9628857550
10272608542
1112a975918
12773676a6
134462a23b
14282c31ca
1518decd7c
hex103fad1e

272608542 has 48 divisors (see below), whose sum is σ = 623697360. Its totient is φ = 85815936.

The previous prime is 272608537. The next prime is 272608543. The reversal of 272608542 is 245806272.

272608542 is a `hidden beast` number, since 2 + 7 + 2 + 608 + 5 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 272608497 and 272608506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272608543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126498 + ... + 128634.

It is an arithmetic number, because the mean of its divisors is an integer number (12993695).

Almost surely, 2272608542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272608542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311848680).

272608542 is an abundant number, since it is smaller than the sum of its proper divisors (351088818).

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

272608542 is a wasteful number, since it uses less digits than its factorization.

272608542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 272608542 is about 16510.8613342854. The cubic root of 272608542 is about 648.4051963937.

The spelling of 272608542 in words is "two hundred seventy-two million, six hundred eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 373 746 1119 2137 2238 3357 4274 6411 6714 7087 12822 14174 19233 21261 38466 40603 42522 63783 81206 121809 127566 243618 365427 730854 797101 1594202 2391303 4782606 7173909 14347818 15144919 30289838 45434757 90869514 136304271 272608542