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27342496 = 253143641
BaseRepresentation
bin110100001001…
…1011010100000
31220110010212001
41220103122200
523444424441
62414013344
7451256506
oct150233240
956403761
1027342496
1114485905
1291a7254
1358844bc
1438ba676
152601731
hex1a136a0

27342496 has 48 divisors (see below), whose sum is σ = 56947968. Its totient is φ = 12902400.

The previous prime is 27342481. The next prime is 27342533. The reversal of 27342496 is 69424372.

It is a super-2 number, since 2×273424962 = 1495224175020032, which contains 22 as substring.

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, 42336 + ... + 42976.

It is an arithmetic number, because the mean of its divisors is an integer number (1186416).

Almost surely, 227342496 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 27342496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28473984).

27342496 is an abundant number, since it is smaller than the sum of its proper divisors (29605472).

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

27342496 is a wasteful number, since it uses less digits than its factorization.

27342496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 27342496 is about 5229.0052591291. The cubic root of 27342496 is about 301.2631775139.

The spelling of 27342496 in words is "twenty-seven million, three hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 344 496 641 688 992 1282 1333 1376 2564 2666 5128 5332 10256 10664 19871 20512 21328 27563 39742 42656 55126 79484 110252 158968 220504 317936 441008 635872 854453 882016 1708906 3417812 6835624 13671248 27342496