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425296872 = 2333721113281
BaseRepresentation
bin11001010110011…
…000001111101000
31002122021022122000
4121112120033220
51332333444442
6110111331000
713352651400
oct3126301750
91078238560
10425296872
111a9083920
12ba520a60
136a15a970
14406ab800
152750dd4c
hex195983e8

425296872 has 384 divisors, whose sum is σ = 1620259200. Its totient is φ = 101606400.

The previous prime is 425296867. The next prime is 425296873. The reversal of 425296872 is 278692524.

425296872 is a `hidden beast` number, since 42 + 529 + 6 + 87 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (425296873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1513372 + ... + 1513652.

It is an arithmetic number, because the mean of its divisors is an integer number (4219425).

Almost surely, 2425296872 is an apocalyptic number.

425296872 is a gapful number since it is divisible by the number (42) 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 425296872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810129600).

425296872 is an abundant number, since it is smaller than the sum of its proper divisors (1194962328).

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

425296872 is a wasteful number, since it uses less digits than its factorization.

425296872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 425296872 is about 20622.7270747591. The cubic root of 425296872 is about 752.0223180716.

It can be divided in two parts, 4252 and 96872, that added together give a square (101124 = 3182).

The spelling of 425296872 in words is "four hundred twenty-five million, two hundred ninety-six thousand, eight hundred seventy-two".