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4296225024 = 283271331661
BaseRepresentation
bin1000000000001001…
…10011000100000000
3102002102002211210100
410000010303010000
532244313200044
61550151002400
7211315211250
oct40004630400
912072084710
104296225024
11190511a4a3
129ba969400
135360ca1b0
142ca823960
151a228a869
hex100133100

4296225024 has 432 divisors, whose sum is σ = 15761234944. Its totient is φ = 1094860800.

The previous prime is 4296224983. The next prime is 4296225049. The reversal of 4296225024 is 4205226924.

It is a happy number.

4296225024 is a `hidden beast` number, since 4 + 2 + 9 + 622 + 5 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4296225024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6499254 + ... + 6499914.

Almost surely, 24296225024 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 4296225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880617472).

4296225024 is an abundant number, since it is smaller than the sum of its proper divisors (11465009920).

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

4296225024 is a wasteful number, since it uses less digits than its factorization.

4296225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4296225024 is about 65545.5950007321. The cubic root of 4296225024 is about 1625.6573307844.

The spelling of 4296225024 in words is "four billion, two hundred ninety-six million, two hundred twenty-five thousand, twenty-four".