Search a number
-
+
425142432 = 253411133137
BaseRepresentation
bin11001010101110…
…010100010100000
31002121222110210000
4121111302202200
51332314024212
6110104140000
713351436211
oct3125624240
91077873700
10425142432
111a8a88890
12ba467600
136a105590
144066b408
15274cd1dc
hex195728a0

425142432 has 480 divisors, whose sum is σ = 1557287424. Its totient is φ = 111974400.

The previous prime is 425142397. The next prime is 425142439. The reversal of 425142432 is 234241524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 425142396 and 425142405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425142439) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11490318 + ... + 11490354.

Almost surely, 2425142432 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 425142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778643712).

425142432 is an abundant number, since it is smaller than the sum of its proper divisors (1132144992).

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

425142432 is a wasteful number, since it uses less digits than its factorization.

425142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 425142432 is about 20618.9823221225. The cubic root of 425142432 is about 751.9312786152.

Adding to 425142432 its reverse (234241524), we get a palindrome (659383956).

The spelling of 425142432 in words is "four hundred twenty-five million, one hundred forty-two thousand, four hundred thirty-two".