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425432000 = 2653771107
BaseRepresentation
bin11001010110111…
…001001111000000
31002122112011222202
4121112321033000
51332402311000
6110114252332
713354053350
oct3126711700
91078464882
10425432000
111a91663a4
12ba5870a8
136a1a7316
1440704b60
1527538dd5
hex195b93c0

425432000 has 224 divisors, whose sum is σ = 1232464896. Its totient is φ = 142464000.

The previous prime is 425431973. The next prime is 425432039. The reversal of 425432000 is 234524.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3975947 + ... + 3976053.

Almost surely, 2425432000 is an apocalyptic number.

425432000 is a gapful number since it is divisible by the number (40) 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 425432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616232448).

425432000 is an abundant number, since it is smaller than the sum of its proper divisors (807032896).

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

425432000 is a wasteful number, since it uses less digits than its factorization.

425432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 425432000 is about 20626.0030059146. The cubic root of 425432000 is about 752.1019553932.

Adding to 425432000 its reverse (234524), we get a palindrome (425666524).

The spelling of 425432000 in words is "four hundred twenty-five million, four hundred thirty-two thousand".