Search a number
-
+
27491436 = 22327127859
BaseRepresentation
bin110100011011…
…1110001101100
31220201201011100
41220313301230
524014211221
62421123100
7452446650
oct150676154
956651140
1027491436
11145777a5
129259490
13590722b
143918a60
152630926
hex1a37c6c

27491436 has 72 divisors (see below), whose sum is σ = 80138240. Its totient is φ = 7783776.

The previous prime is 27491393. The next prime is 27491441. The reversal of 27491436 is 63419472.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 27491436.

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, 31575 + ... + 32433.

Almost surely, 227491436 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 27491436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40069120).

27491436 is an abundant number, since it is smaller than the sum of its proper divisors (52646804).

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

27491436 is a wasteful number, since it uses less digits than its factorization.

27491436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 998 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 27491436 is about 5243.2276319077. The cubic root of 27491436 is about 301.8092007097.

Subtracting 27491436 from its reverse (63419472), we obtain a square (35928036 = 59942).

The spelling of 27491436 in words is "twenty-seven million, four hundred ninety-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 859 889 1143 1524 1718 1778 2286 2577 2667 3436 3556 4572 5154 5334 6013 7731 8001 10308 10668 12026 15462 16002 18039 24052 30924 32004 36078 54117 72156 108234 109093 216468 218186 327279 436372 654558 763651 981837 1309116 1527302 1963674 2290953 3054604 3927348 4581906 6872859 9163812 13745718 27491436