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424732896 = 25387172
BaseRepresentation
bin11001010100001…
…110100011100000
31002121012200000000
4121110032203200
51332212423041
6110051300000
713345112220
oct3124164340
91077180000
10424732896
111a8829125
12ba2aa600
1369cc1053
14405a2080
152744bbb6
hex1950e8e0

424732896 has 324 divisors, whose sum is σ = 1522678248. Its totient is φ = 114213888.

The previous prime is 424732883. The next prime is 424732901. The reversal of 424732896 is 698237424.

It is a tau number, because it is divible by the number of its divisors (324).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 24984280 + ... + 24984296.

Almost surely, 2424732896 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 424732896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761339124).

424732896 is an abundant number, since it is smaller than the sum of its proper divisors (1097945352).

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

424732896 is an frugal number, since it uses more digits than its factorization.

424732896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 424732896 is about 20609.0488863509. The cubic root of 424732896 is about 751.6897580977.

It can be divided in two parts, 4247328 and 96, that added together give a palindrome (4247424).

The spelling of 424732896 in words is "four hundred twenty-four million, seven hundred thirty-two thousand, eight hundred ninety-six".