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27297468 = 223211292377
BaseRepresentation
bin110100000100…
…0011010111100
31220100212002100
41220020122330
523442004333
62413025100
7451011312
oct150103274
956325070
1027297468
1114454aa0
129185190
135869b63
1438a80b2
1525e3213
hex1a086bc

27297468 has 72 divisors (see below), whose sum is σ = 77903280. Its totient is φ = 7983360.

The previous prime is 27297467. The next prime is 27297533. The reversal of 27297468 is 86479272.

It is a super-2 number, since 2×272974682 = 1490303518422048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27297463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10296 + ... + 12672.

It is an arithmetic number, because the mean of its divisors is an integer number (1081990).

Almost surely, 227297468 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 27297468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38951640).

27297468 is an abundant number, since it is smaller than the sum of its proper divisors (50605812).

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

27297468 is a wasteful number, since it uses less digits than its factorization.

27297468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2422 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27297468 is about 5224.6978860026. The cubic root of 27297468 is about 301.0977118633.

The spelling of 27297468 in words is "twenty-seven million, two hundred ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2377 2871 3828 4754 5742 7131 9508 11484 14262 21393 26147 28524 42786 52294 68933 78441 85572 104588 137866 156882 206799 235323 275732 313764 413598 470646 620397 758263 827196 941292 1240794 1516526 2274789 2481588 3033052 4549578 6824367 9099156 13648734 27297468