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27059472 = 24321121553
BaseRepresentation
bin110011100111…
…0010100010000
31212220202121200
41213032110100
523411400342
62403551200
7446000406
oct147162420
955822550
1027059472
1114302200
12908b500
1357b572b
143845476
15259794c
hex19ce510

27059472 has 90 divisors (see below), whose sum is σ = 83292846. Its totient is φ = 8194560.

The previous prime is 27059447. The next prime is 27059519. The reversal of 27059472 is 27495072.

It can be written as a sum of positive squares in only one way, i.e., 17842176 + 9217296 = 4224^2 + 3036^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 16648 + ... + 18200.

Almost surely, 227059472 is an apocalyptic number.

27059472 is a gapful number since it is divisible by the number (22) 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 27059472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41646423).

27059472 is an abundant number, since it is smaller than the sum of its proper divisors (56233374).

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

27059472 is a wasteful number, since it uses less digits than its factorization.

27059472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 27059472 is about 5201.8719707428. The cubic root of 27059472 is about 300.2201051396.

Subtracting 27059472 from its reverse (27495072), we obtain a square (435600 = 6602).

The spelling of 27059472 in words is "twenty-seven million, fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1553 1584 1936 2178 2904 3106 4356 4659 5808 6212 8712 9318 12424 13977 17083 17424 18636 24848 27954 34166 37272 51249 55908 68332 74544 102498 111816 136664 153747 187913 204996 223632 273328 307494 375826 409992 563739 614988 751652 819984 1127478 1229976 1503304 1691217 2254956 2459952 3006608 3382434 4509912 6764868 9019824 13529736 27059472