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27314496 = 263411479
BaseRepresentation
bin110100000110…
…0100101000000
31220101201110000
41220030211000
523443030441
62413240000
7451112046
oct150144500
956351400
1027314496
1114466870
129193000
135874831
1438b0396
1525e82b6
hex1a0c940

27314496 has 140 divisors (see below), whose sum is σ = 88513920. Its totient is φ = 8259840.

The previous prime is 27314489. The next prime is 27314509. The reversal of 27314496 is 69441372.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27314496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56785 + ... + 57263.

Almost surely, 227314496 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 27314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44256960).

27314496 is an abundant number, since it is smaller than the sum of its proper divisors (61199424).

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

27314496 is a wasteful number, since it uses less digits than its factorization.

27314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

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

The square root of 27314496 is about 5226.3271998603. The cubic root of 27314496 is about 301.1603065103.

It can be divided in two parts, 2731 and 4496, that added together give a palindrome (7227).

The spelling of 27314496 in words is "twenty-seven million, three hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 479 528 576 594 648 704 792 864 891 958 1056 1188 1296 1437 1584 1728 1782 1916 2112 2376 2592 2874 3168 3564 3832 4311 4752 5184 5269 5748 6336 7128 7664 8622 9504 10538 11496 12933 14256 15328 15807 17244 19008 21076 22992 25866 28512 30656 31614 34488 38799 42152 45984 47421 51732 57024 63228 68976 77598 84304 91968 94842 103464 126456 137952 142263 155196 168608 189684 206928 252912 275904 284526 310392 337216 379368 413856 426789 505824 569052 620784 758736 827712 853578 1011648 1138104 1241568 1517472 1707156 2276208 2483136 3034944 3414312 4552416 6828624 9104832 13657248 27314496