Search a number
-
+
27434496 = 29353337
BaseRepresentation
bin110100010100…
…1111000000000
31220121211001110
41220221320000
524010400441
62420003320
7452121645
oct150517000
956554043
1027434496
1114538a41
129230540
1358b733b
143901dcc
15261db16
hex1a29e00

27434496 has 80 divisors (see below), whose sum is σ = 74687184. Its totient is φ = 8945664.

The previous prime is 27434419. The next prime is 27434507. The reversal of 27434496 is 69443472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81240 + ... + 81576.

Almost surely, 227434496 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 27434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37343592).

27434496 is an abundant number, since it is smaller than the sum of its proper divisors (47252688).

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

27434496 is an equidigital number, since it uses as much as digits as its factorization.

27434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 27434496 is about 5237.7949558951. The cubic root of 27434496 is about 301.6006885748.

The spelling of 27434496 in words is "twenty-seven million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 337 384 424 512 636 674 768 848 1011 1272 1348 1536 1696 2022 2544 2696 3392 4044 5088 5392 6784 8088 10176 10784 13568 16176 17861 20352 21568 27136 32352 35722 40704 43136 53583 64704 71444 81408 86272 107166 129408 142888 172544 214332 258816 285776 428664 517632 571552 857328 1143104 1714656 2286208 3429312 4572416 6858624 9144832 13717248 27434496