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27309828 = 22371389281
BaseRepresentation
bin110100000101…
…1011100000100
31220101111001010
41220023130010
523442403303
62413202220
7451062330
oct150133404
956344033
1027309828
1114463307
129190370
135872680
1438ac7c0
1525e6c03
hex1a0b704

27309828 has 96 divisors (see below), whose sum is σ = 79591680. Its totient is φ = 7096320.

The previous prime is 27309827. The next prime is 27309829. The reversal of 27309828 is 82890372.

It is an interprime number because it is at equal distance from previous prime (27309827) and next prime (27309829).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (27309827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97048 + ... + 97328.

It is an arithmetic number, because the mean of its divisors is an integer number (829080).

Almost surely, 227309828 is an apocalyptic number.

27309828 is a gapful number since it is divisible by the number (28) 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 27309828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39795840).

27309828 is an abundant number, since it is smaller than the sum of its proper divisors (52281852).

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

27309828 is a wasteful number, since it uses less digits than its factorization.

27309828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 27309828 is about 5225.8805956508. The cubic root of 27309828 is about 301.1431496082.

The spelling of 27309828 in words is "twenty-seven million, three hundred nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 89 91 156 178 182 267 273 281 356 364 534 546 562 623 843 1068 1092 1124 1157 1246 1686 1869 1967 2314 2492 3372 3471 3653 3738 3934 4628 5901 6942 7306 7476 7868 8099 10959 11802 13884 14612 16198 21918 23604 24297 25009 25571 32396 43836 48594 50018 51142 75027 76713 97188 100036 102284 150054 153426 175063 300108 306852 325117 350126 525189 650234 700252 975351 1050378 1300468 1950702 2100756 2275819 3901404 4551638 6827457 9103276 13654914 27309828