Search a number
-
+
478425024 = 263272112367
BaseRepresentation
bin11100100001000…
…010111111000000
31020100020111202100
4130201002333000
51434434100044
6115250150400
714566355100
oct3441027700
91210214670
10478425024
11226070890
12114282400
137816cb3c
144777b200
152c005869
hex1c842fc0

478425024 has 504 divisors, whose sum is σ = 1842991488. Its totient is φ = 117089280.

The previous prime is 478424983. The next prime is 478425061. The reversal of 478425024 is 420524874.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 478425024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7140639 + ... + 7140705.

Almost surely, 2478425024 is an apocalyptic number.

478425024 is a gapful number since it is divisible by the number (44) 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 478425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921495744).

478425024 is an abundant number, since it is smaller than the sum of its proper divisors (1364566464).

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

478425024 is a wasteful number, since it uses less digits than its factorization.

478425024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 478425024 is about 21872.9290219669. The cubic root of 478425024 is about 782.1162256416.

Adding to 478425024 its reverse (420524874), we get a palindrome (898949898).

The spelling of 478425024 in words is "four hundred seventy-eight million, four hundred twenty-five thousand, twenty-four".