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27138852 = 223213103563
BaseRepresentation
bin110011110000…
…1101100100100
31220001210111200
41213201230210
523421420402
62405402500
7446451006
oct147415444
956053450
1027138852
1114356904
129109430
1358128c0
143866376
1525b121c
hex19e1b24

27138852 has 72 divisors (see below), whose sum is σ = 74727744. Its totient is φ = 8254656.

The previous prime is 27138847. The next prime is 27138869. The reversal of 27138852 is 25883172.

27138852 is a `hidden beast` number, since 271 + 388 + 5 + 2 = 666.

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, 47923 + ... + 48485.

Almost surely, 227138852 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 27138852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37363872).

27138852 is an abundant number, since it is smaller than the sum of its proper divisors (47588892).

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

27138852 is a wasteful number, since it uses less digits than its factorization.

27138852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 684 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 27138852 is about 5209.4963288211. The cubic root of 27138852 is about 300.5133876094.

The spelling of 27138852 in words is "twenty-seven million, one hundred thirty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 563 618 927 1126 1236 1339 1689 1854 2252 2678 3378 3708 4017 5067 5356 6756 7319 8034 10134 12051 14638 16068 20268 21957 24102 29276 43914 48204 57989 65871 87828 115978 131742 173967 231956 263484 347934 521901 695868 753857 1043802 1507714 2087604 2261571 3015428 4523142 6784713 9046284 13569426 27138852