Search a number
-
+
427794048 = 273411331
BaseRepresentation
bin11001011111111…
…001111010000000
31002210222012010000
4121133321322000
51334003402143
6110241040000
713413121653
oct3137717200
91083865100
10427794048
111aa52a000
12bb326000
136a823496
1440b5b89a
1527853bd3
hex197f9e80

427794048 has 320 divisors, whose sum is σ = 1445495040. Its totient is φ = 125452800.

The previous prime is 427794019. The next prime is 427794053. The reversal of 427794048 is 840497724.

It is a junction number, because it is equal to n+sod(n) for n = 427793994 and 427794012.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13799793 + ... + 13799823.

It is an arithmetic number, because the mean of its divisors is an integer number (4517172).

Almost surely, 2427794048 is an apocalyptic number.

427794048 is a gapful number since it is divisible by the number (48) 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 427794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722747520).

427794048 is an abundant number, since it is smaller than the sum of its proper divisors (1017700992).

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

427794048 is an equidigital number, since it uses as much as digits as its factorization.

427794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 427794048 is about 20683.1827338057. The cubic root of 427794048 is about 753.4913064868.

The spelling of 427794048 in words is "four hundred twenty-seven million, seven hundred ninety-four thousand, forty-eight".