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27480942 = 23217312897
BaseRepresentation
bin110100011010…
…1001101101110
31220201011202200
41220311031232
524013342232
62421002330
7452404236
oct150651556
956634680
1027480942
111456a925
1292533a6
135902518
143914cc6
15262c77c
hex1a3536e

27480942 has 48 divisors (see below), whose sum is σ = 65100672. Its totient is φ = 8340480.

The previous prime is 27480919. The next prime is 27480979. The reversal of 27480942 is 24908472.

It is a junction number, because it is equal to n+sod(n) for n = 27480897 and 27480906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8038 + ... + 10934.

It is an arithmetic number, because the mean of its divisors is an integer number (1356264).

Almost surely, 227480942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27480942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550336).

27480942 is an abundant number, since it is smaller than the sum of its proper divisors (37619730).

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

27480942 is a wasteful number, since it uses less digits than its factorization.

27480942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27480942 is about 5242.2268169166. The cubic root of 27480942 is about 301.7707937330.

The spelling of 27480942 in words is "twenty-seven million, four hundred eighty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 2897 3162 4743 5794 8691 9486 17382 26073 49249 52146 89807 98498 147747 179614 269421 295494 443241 538842 808263 886482 1526719 1616526 3053438 4580157 9160314 13740471 27480942