Search a number
-
+
27400472 = 23111033023
BaseRepresentation
bin110100010000…
…1100100011000
31220120002101022
41220201210120
524003303342
62415142012
7451620521
oct150414430
956502338
1027400472
1114515420
129214908
1358a49c8
1438d3848
1526139d2
hex1a21918

27400472 has 32 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 12329760.

The previous prime is 27400469. The next prime is 27400507.

27400472 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7553 + ... + 10575.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 227400472 is an apocalyptic number.

27400472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27400472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

27400472 is an abundant number, since it is smaller than the sum of its proper divisors (29208808).

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

27400472 is a wasteful number, since it uses less digits than its factorization.

27400472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 27400472 is about 5234.5460166093. The cubic root of 27400472 is about 301.4759562318.

It can be divided in two parts, 27400 and 472, that added together give a palindrome (27872).

The spelling of 27400472 in words is "twenty-seven million, four hundred thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 824 1133 2266 3023 4532 6046 9064 12092 24184 33253 66506 133012 266024 311369 622738 1245476 2490952 3425059 6850118 13700236 27400472