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27472952 = 23131741379
BaseRepresentation
bin110100011001…
…1010000111000
31220200202210202
41220303100320
524013113302
62420501332
7452342033
oct150632070
956622722
1027472952
1114564921
12924a848
1358cb9b0
14391201a
15262a202
hex1a33438

27472952 has 64 divisors (see below), whose sum is σ = 60328800. Its totient is φ = 11612160.

The previous prime is 27472943. The next prime is 27472979. The reversal of 27472952 is 25927472.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72299 + ... + 72677.

Almost surely, 227472952 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 27472952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164400).

27472952 is an abundant number, since it is smaller than the sum of its proper divisors (32855848).

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

27472952 is a wasteful number, since it uses less digits than its factorization.

27472952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 27472952 is about 5241.4646807930. The cubic root of 27472952 is about 301.7415445857.

The spelling of 27472952 in words is "twenty-seven million, four hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 221 328 379 442 533 697 758 884 1066 1394 1516 1768 2132 2788 3032 4264 4927 5576 6443 9061 9854 12886 15539 18122 19708 25772 31078 36244 39416 51544 62156 72488 83759 124312 167518 202007 264163 335036 404014 528326 670072 808028 1056652 1616056 2113304 3434119 6868238 13736476 27472952