Search a number
-
+
27790336 = 21073877
BaseRepresentation
bin110101000000…
…0110000000000
31221021220011201
41222000300000
524103242321
62431350544
7455133250
oct152006000
957256151
1027790336
1114761322
129382454
1359b02b2
143995960
15268e291
hex1a80c00

27790336 has 44 divisors (see below), whose sum is σ = 63506128. Its totient is φ = 11907072.

The previous prime is 27790307. The next prime is 27790351. The reversal of 27790336 is 63309772.

It is a junction number, because it is equal to n+sod(n) for n = 27790295 and 27790304.

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, 5230 + ... + 9106.

Almost surely, 227790336 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 27790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31753064).

27790336 is an abundant number, since it is smaller than the sum of its proper divisors (35715792).

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

27790336 is an equidigital number, since it uses as much as digits as its factorization.

27790336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 27790336 is about 5271.6540098910. The cubic root of 27790336 is about 302.8990648710.

The spelling of 27790336 in words is "twenty-seven million, seven hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 3877 7168 7754 15508 27139 31016 54278 62032 108556 124064 217112 248128 434224 496256 868448 992512 1736896 1985024 3473792 3970048 6947584 13895168 27790336