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27428310 = 232571317197
BaseRepresentation
bin110100010100…
…0010111010110
31220121111120100
41220220113112
524010201220
62415514530
7452064630
oct150502726
956544510
1027428310
1114534328
129228a46
1358b4590
1438dda50
15261bd90
hex1a285d6

27428310 has 192 divisors, whose sum is σ = 93405312. Its totient is φ = 5419008.

The previous prime is 27428299. The next prime is 27428339. The reversal of 27428310 is 1382472.

It is a super-2 number, since 2×274283102 = 1504624378912200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139132 + ... + 139328.

It is an arithmetic number, because the mean of its divisors is an integer number (486486).

Almost surely, 227428310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27428310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

27428310 is an abundant number, since it is smaller than the sum of its proper divisors (65977002).

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

27428310 is a wasteful number, since it uses less digits than its factorization.

27428310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27428310 is about 5237.2044069331. The cubic root of 27428310 is about 301.5780183071.

The spelling of 27428310 in words is "twenty-seven million, four hundred twenty-eight thousand, three hundred ten".