Search a number
-
+
27477372 = 22313217797
BaseRepresentation
bin110100011010…
…0010101111100
31220200222212110
41220310111330
524013233442
62420534020
7452360646
oct150642574
956628773
1027477372
111456817a
129251310
135900a00
143913896
15262b69c
hex1a3457c

27477372 has 72 divisors (see below), whose sum is σ = 73601136. Its totient is φ = 7947264.

The previous prime is 27477349. The next prime is 27477379. The reversal of 27477372 is 27377472.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 27477372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27477379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34078 + ... + 34874.

It is an arithmetic number, because the mean of its divisors is an integer number (1022238).

Almost surely, 227477372 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 27477372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36800568).

27477372 is an abundant number, since it is smaller than the sum of its proper divisors (46123764).

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

27477372 is a wasteful number, since it uses less digits than its factorization.

27477372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 832 counting only the distinct ones).

The product of its digits is 115248, while the sum is 39.

The square root of 27477372 is about 5241.8863017048. The cubic root of 27477372 is about 301.7577256658.

The spelling of 27477372 in words is "twenty-seven million, four hundred seventy-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 797 884 1014 1326 1594 2028 2391 2652 2873 3188 4782 5746 8619 9564 10361 11492 13549 17238 20722 27098 31083 34476 40647 41444 54196 62166 81294 124332 134693 162588 176137 269386 352274 404079 528411 538772 704548 808158 1056822 1616316 2113644 2289781 4579562 6869343 9159124 13738686 27477372