Search a number
-
+
27339468 = 2231331761
BaseRepresentation
bin110100001001…
…0101011001100
31220102222200220
41220102223030
523444330333
62413551340
7451244622
oct150225314
956388626
1027339468
1114483602
1291a5550
135883000
1438b9512
1526008b3
hex1a12acc

27339468 has 96 divisors (see below), whose sum is σ = 74370240. Its totient is φ = 7787520.

The previous prime is 27339457. The next prime is 27339469. The reversal of 27339468 is 86493372.

Its product of digits (217728) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27339469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448158 + ... + 448218.

It is an arithmetic number, because the mean of its divisors is an integer number (774690).

Almost surely, 227339468 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 27339468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185120).

27339468 is an abundant number, since it is smaller than the sum of its proper divisors (47030772).

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

27339468 is a wasteful number, since it uses less digits than its factorization.

27339468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 27339468 is about 5228.7157122949. The cubic root of 27339468 is about 301.2520561374.

The spelling of 27339468 in words is "twenty-seven million, three hundred thirty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 61 68 78 102 122 156 169 183 204 221 244 338 366 442 507 663 676 732 793 884 1014 1037 1326 1586 2028 2074 2197 2379 2652 2873 3111 3172 4148 4394 4758 5746 6222 6591 8619 8788 9516 10309 11492 12444 13182 13481 17238 20618 26364 26962 30927 34476 37349 40443 41236 53924 61854 74698 80886 112047 123708 134017 149396 161772 175253 224094 268034 350506 402051 448188 525759 536068 701012 804102 1051518 1608204 2103036 2278289 4556578 6834867 9113156 13669734 27339468