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27407872 = 29199269
BaseRepresentation
bin110100010001…
…1011000000000
31220120110112101
41220203120000
524004022442
62415240144
7451651222
oct150433000
956513471
1027407872
111451aa38
129219054
1358a819b
1438d6412
152615cb7
hex1a23600

27407872 has 40 divisors (see below), whose sum is σ = 55242000. Its totient is φ = 13584384.

The previous prime is 27407869. The next prime is 27407879. The reversal of 27407872 is 27870472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27407879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101754 + ... + 102022.

It is an arithmetic number, because the mean of its divisors is an integer number (1381050).

Almost surely, 227407872 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 27407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27621000).

27407872 is an abundant number, since it is smaller than the sum of its proper divisors (27834128).

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

27407872 is an equidigital number, since it uses as much as digits as its factorization.

27407872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 27407872 is about 5235.2528114696. The cubic root of 27407872 is about 301.5030934927.

The spelling of 27407872 in words is "twenty-seven million, four hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 199 256 269 398 512 538 796 1076 1592 2152 3184 4304 6368 8608 12736 17216 25472 34432 50944 53531 68864 101888 107062 137728 214124 428248 856496 1712992 3425984 6851968 13703936 27407872