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4302868752 = 2432721361769
BaseRepresentation
bin1000000000111100…
…01001000100010000
3102002212121101021100
410000132021010100
532303013300002
61550545224400
7211425531600
oct40036110420
912085541240
104302868752
111908947a86
12a01032100
135375b51b0
142cb672c00
151a2b4e11c
hex100789110

4302868752 has 360 divisors, whose sum is σ = 15352897560. Its totient is φ = 1114767360.

The previous prime is 4302868751. The next prime is 4302868777. The reversal of 4302868752 is 2578682034.

It can be written as a sum of positive squares in 4 ways, for example, as 108493056 + 4194375696 = 10416^2 + 64764^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4302868698 and 4302868707.

It is not an unprimeable number, because it can be changed into a prime (4302868751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5595024 + ... + 5595792.

Almost surely, 24302868752 is an apocalyptic number.

4302868752 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 4302868752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676448780).

4302868752 is an abundant number, since it is smaller than the sum of its proper divisors (11050028808).

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

4302868752 is a wasteful number, since it uses less digits than its factorization.

4302868752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4302868752 is about 65596.2556248449. The cubic root of 4302868752 is about 1626.4948771223.

The spelling of 4302868752 in words is "four billion, three hundred two million, eight hundred sixty-eight thousand, seven hundred fifty-two".