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27672942 = 2311247811
BaseRepresentation
bin110100110010…
…0000101101110
31221001221010210
41221210011232
524041013232
62425043250
7454134063
oct151440556
957057123
1027672942
1114691100
129326526
13596ba2b
143964c6a
1526695cc
hex1a6416e

27672942 has 48 divisors (see below), whose sum is σ = 62205696. Its totient is φ = 8197200.

The previous prime is 27672917. The next prime is 27672959. The reversal of 27672942 is 24927672.

It is a self number, because there is not a number n which added to its sum of digits gives 27672942.

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, 33717 + ... + 34527.

It is an arithmetic number, because the mean of its divisors is an integer number (1295952).

Almost surely, 227672942 is an apocalyptic number.

27672942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27672942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31102848).

27672942 is an abundant number, since it is smaller than the sum of its proper divisors (34532754).

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

27672942 is a wasteful number, since it uses less digits than its factorization.

27672942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 27672942 is about 5260.5077701682. The cubic root of 27672942 is about 302.4719533226.

The spelling of 27672942 in words is "twenty-seven million, six hundred seventy-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 141 242 282 363 517 726 811 1034 1551 1622 2433 3102 4866 5687 8921 11374 17061 17842 26763 34122 38117 53526 76234 98131 114351 196262 228702 294393 419287 588786 838574 1257861 2515722 4612157 9224314 13836471 27672942