Search a number
-
+
27981252 = 223213173517
BaseRepresentation
bin110101010111…
…1010111000100
31221122121001200
41222233113010
524130400002
62435422500
7456556665
oct152572704
957577050
1027981252
1114881802
129454a30
135a49170
143a0536c
1526cab1c
hex1aaf5c4

27981252 has 72 divisors (see below), whose sum is σ = 80674776. Its totient is φ = 8100864.

The previous prime is 27981221. The next prime is 27981263. The reversal of 27981252 is 25218972.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 18096516 = 3144^2 + 4254^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6198 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (1120483).

Almost surely, 227981252 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 27981252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40337388).

27981252 is an abundant number, since it is smaller than the sum of its proper divisors (52693524).

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

27981252 is a wasteful number, since it uses less digits than its factorization.

27981252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3552 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 27981252 is about 5289.7308060052. The cubic root of 27981252 is about 303.5911082816.

The spelling of 27981252 in words is "twenty-seven million, nine hundred eighty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3517 3978 7034 7956 10551 14068 21102 31653 42204 45721 59789 63306 91442 119578 126612 137163 179367 182884 239156 274326 358734 411489 538101 548652 717468 777257 822978 1076202 1554514 1645956 2152404 2331771 3109028 4663542 6995313 9327084 13990626 27981252