Search a number
-
+
27394048 = 2171119
BaseRepresentation
bin110100010000…
…0000000000000
31220112202120101
41220200000000
524003102143
62415052144
7451563013
oct150400000
956482511
1027394048
1114510610
129211054
1358a1ac6
1438d137a
152611b4d
hex1a20000

27394048 has 72 divisors (see below), whose sum is σ = 62914320. Its totient is φ = 11796480.

The previous prime is 27394019. The next prime is 27394051. The reversal of 27394048 is 84049372.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27393998 and 27394016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1441783 + ... + 1441801.

It is an arithmetic number, because the mean of its divisors is an integer number (873810).

Almost surely, 227394048 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 27394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457160).

27394048 is an abundant number, since it is smaller than the sum of its proper divisors (35520272).

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

27394048 is an frugal number, since it uses more digits than its factorization.

27394048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 27394048 is about 5233.9323648668. The cubic root of 27394048 is about 301.4523941935.

The spelling of 27394048 in words is "twenty-seven million, three hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2048 2432 2816 3344 4096 4864 5632 6688 8192 9728 11264 13376 16384 19456 22528 26752 32768 38912 45056 53504 65536 77824 90112 107008 131072 155648 180224 214016 311296 360448 428032 622592 720896 856064 1245184 1441792 1712128 2490368 3424256 6848512 13697024 27394048