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27424096 = 257235323
BaseRepresentation
bin110100010011…
…1010101100000
31220121021210021
41220213111200
524010032341
62415443224
7452046430
oct150472540
956537707
1027424096
1114531147
129226514
1358b269b
1438dc2c0
15261a9d1
hex1a27560

27424096 has 48 divisors (see below), whose sum is σ = 64399104. Its totient is φ = 11240064.

The previous prime is 27424081. The next prime is 27424109. The reversal of 27424096 is 69042472.

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 7 ways as a sum of consecutive naturals, for example, 2491 + ... + 7813.

It is an arithmetic number, because the mean of its divisors is an integer number (1341648).

Almost surely, 227424096 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 27424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32199552).

27424096 is an abundant number, since it is smaller than the sum of its proper divisors (36975008).

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

27424096 is a wasteful number, since it uses less digits than its factorization.

27424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 27424096 is about 5236.8020776042. The cubic root of 27424096 is about 301.5625730140.

The spelling of 27424096 in words is "twenty-seven million, four hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 5323 10646 21292 37261 42584 74522 85168 122429 149044 170336 244858 298088 489716 596176 857003 979432 1192352 1714006 1958864 3428012 3917728 6856024 13712048 27424096