Search a number
-
+
27460048 = 2471131719
BaseRepresentation
bin110100011000…
…0000111010000
31220200010002211
41220300013100
524012210143
62420321504
7452256310
oct150600720
956603084
1027460048
1114556160
129243294
1358c5b65
14390b440
15262649d
hex1a301d0

27460048 has 80 divisors (see below), whose sum is σ = 68567040. Its totient is φ = 10339200.

The previous prime is 27460039. The next prime is 27460061. The reversal of 27460048 is 84006472.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37833 + ... + 38551.

It is an arithmetic number, because the mean of its divisors is an integer number (857088).

Almost surely, 227460048 is an apocalyptic number.

27460048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283520).

27460048 is an abundant number, since it is smaller than the sum of its proper divisors (41106992).

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

27460048 is a wasteful number, since it uses less digits than its factorization.

27460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 27460048 is about 5240.2335825801. The cubic root of 27460048 is about 301.6942946862.

The spelling of 27460048 in words is "twenty-seven million, four hundred sixty thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 719 868 1232 1364 1438 1736 2387 2728 2876 3472 4774 5033 5456 5752 7909 9548 10066 11504 15818 19096 20132 22289 31636 38192 40264 44578 55363 63272 80528 89156 110726 126544 156023 178312 221452 245179 312046 356624 442904 490358 624092 885808 980716 1248184 1716253 1961432 2496368 3432506 3922864 6865012 13730024 27460048