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27342252 = 2233759613
BaseRepresentation
bin110100001001…
…1010110101100
31220110010112000
41220103112230
523444423002
62414012300
7451256010
oct150232654
956403460
1027342252
1114485703
1291a7090
135884362
1438ba540
15260161c
hex1a135ac

27342252 has 96 divisors (see below), whose sum is σ = 82521600. Its totient is φ = 7667136.

The previous prime is 27342251. The next prime is 27342257. The reversal of 27342252 is 25224372.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27342251) 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, 44298 + ... + 44910.

It is an arithmetic number, because the mean of its divisors is an integer number (859600).

Almost surely, 227342252 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 27342252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41260800).

27342252 is an abundant number, since it is smaller than the sum of its proper divisors (55179348).

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

27342252 is a wasteful number, since it uses less digits than its factorization.

27342252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 27342252 is about 5228.9819276796. The cubic root of 27342252 is about 301.2622813700.

The spelling of 27342252 in words is "twenty-seven million, three hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 613 708 756 826 1062 1226 1239 1593 1652 1839 2124 2452 2478 3186 3678 3717 4291 4956 5517 6372 7356 7434 8582 11034 11151 12873 14868 16551 17164 22068 22302 25746 33102 36167 38619 44604 51492 66204 72334 77238 108501 115857 144668 154476 217002 231714 253169 325503 434004 463428 506338 651006 759507 976509 1012676 1302012 1519014 1953018 2278521 3038028 3906036 4557042 6835563 9114084 13671126 27342252