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428025024 = 26327831279
BaseRepresentation
bin11001100000110…
…010010011000000
31002211101220221200
4121200302103000
51334033300044
6110250021200
713415103240
oct3140622300
91084356850
10428025024
111aa677599
12bb417800
136a8a465b
1440bbbb20
152789c369
hex198324c0

428025024 has 168 divisors, whose sum is σ = 1420124160. Its totient is φ = 120724992.

The previous prime is 428025023. The next prime is 428025047. The reversal of 428025024 is 420520824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (428025023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334017 + ... + 335295.

It is an arithmetic number, because the mean of its divisors is an integer number (8453120).

Almost surely, 2428025024 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 428025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710062080).

428025024 is an abundant number, since it is smaller than the sum of its proper divisors (992099136).

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

428025024 is a wasteful number, since it uses less digits than its factorization.

428025024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 428025024 is about 20688.7656470849. The cubic root of 428025024 is about 753.6268912740.

Adding to 428025024 its reverse (420520824), we get a palindrome (848545848).

The spelling of 428025024 in words is "four hundred twenty-eight million, twenty-five thousand, twenty-four".