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27074496 = 263236131
BaseRepresentation
bin110011101000…
…1111111000000
31212221112020010
41213101333000
523412340441
62404144520
7446062251
oct147217700
955845203
1027074496
1114312519
129098140
1357bc517
14384ab28
15259c116
hex19d1fc0

27074496 has 56 divisors (see below), whose sum is σ = 74761344. Its totient is φ = 8631040.

The previous prime is 27074483. The next prime is 27074503. The reversal of 27074496 is 69447072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351 + ... + 7481.

It is an arithmetic number, because the mean of its divisors is an integer number (1335024).

Almost surely, 227074496 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 27074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37380672).

27074496 is an abundant number, since it is smaller than the sum of its proper divisors (47686848).

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

27074496 is a wasteful number, since it uses less digits than its factorization.

27074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 27074496 is about 5203.3158658686. The cubic root of 27074496 is about 300.2756577429.

The spelling of 27074496 in words is "twenty-seven million, seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 6131 12262 18393 24524 36786 49048 73572 98096 141013 147144 196192 282026 294288 392384 423039 564052 588576 846078 1128104 1177152 1692156 2256208 3384312 4512416 6768624 9024832 13537248 27074496