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27328672 = 257229601
BaseRepresentation
bin110100001000…
…0000010100000
31220102102220001
41220100002200
523444004142
62413425344
7451201300
oct150200240
956372801
1027328672
1114476488
12919b254
13587b117
1438b5600
1525ec5b7
hex1a100a0

27328672 has 72 divisors (see below), whose sum is σ = 64853460. Its totient is φ = 11289600.

The previous prime is 27328649. The next prime is 27328687. The reversal of 27328672 is 27682372.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 1073296 = 5124^2 + 1036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45172 + ... + 45772.

Almost surely, 227328672 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 27328672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32426730).

27328672 is an abundant number, since it is smaller than the sum of its proper divisors (37524788).

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

27328672 is a wasteful number, since it uses less digits than its factorization.

27328672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 639 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 27328672 is about 5227.6832344739. The cubic root of 27328672 is about 301.2123974117.

The spelling of 27328672 in words is "twenty-seven million, three hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 601 784 812 928 1202 1421 1568 1624 2404 2842 3248 4207 4808 5684 6496 8414 9616 11368 16828 17429 19232 22736 29449 33656 34858 45472 58898 67312 69716 117796 122003 134624 139432 235592 244006 278864 471184 488012 557728 854021 942368 976024 1708042 1952048 3416084 3904096 6832168 13664336 27328672