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27149304 = 23371331401
BaseRepresentation
bin110011110010…
…0001111111000
31220002022211210
41213210033320
523422234204
62405523120
7446523330
oct147441770
956068753
1027149304
1114363746
1291134a0
1358175a0
14386a0c0
1525b4389
hex19e43f8

27149304 has 128 divisors (see below), whose sum is σ = 86446080. Its totient is φ = 6912000.

The previous prime is 27149299. The next prime is 27149321. The reversal of 27149304 is 40394172.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67504 + ... + 67904.

It is an arithmetic number, because the mean of its divisors is an integer number (675360).

Almost surely, 227149304 is an apocalyptic number.

27149304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27149304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43223040).

27149304 is an abundant number, since it is smaller than the sum of its proper divisors (59296776).

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

27149304 is a wasteful number, since it uses less digits than its factorization.

27149304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27149304 is about 5210.4994002495. The cubic root of 27149304 is about 300.5519616162.

It can be divided in two parts, 27 and 149304, that added together give a triangular number (149331 = T546).

The spelling of 27149304 in words is "twenty-seven million, one hundred forty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 401 403 434 546 651 728 744 802 806 868 1092 1203 1209 1302 1604 1612 1736 2184 2406 2418 2604 2807 2821 3208 3224 4812 4836 5208 5213 5614 5642 8421 8463 9624 9672 10426 11228 11284 12431 15639 16842 16926 20852 22456 22568 24862 31278 33684 33852 36491 37293 41704 49724 62556 67368 67704 72982 74586 87017 99448 109473 125112 145964 149172 161603 174034 218946 261051 291928 298344 323206 348068 437892 484809 522102 646412 696136 875784 969618 1044204 1131221 1292824 1939236 2088408 2262442 3393663 3878472 4524884 6787326 9049768 13574652 27149304