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2432289620 = 2251735919927
BaseRepresentation
bin1001000011111001…
…1100101101010100
320021111210010002202
42100332130231110
514440131231440
61041204224032
7114163056245
oct22076345524
96244703082
102432289620
111038a67212
1257a69b018
132c9bb2b37
14191066ccc
15e3803615
hex90f9cb54

2432289620 has 48 divisors (see below), whose sum is σ = 5423604480. Its totient is φ = 913089024.

The previous prime is 2432289611. The next prime is 2432289659. The reversal of 2432289620 is 269822342.

2432289620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112097 + ... + 132023.

It is an arithmetic number, because the mean of its divisors is an integer number (112991760).

Almost surely, 22432289620 is an apocalyptic number.

2432289620 is a gapful number since it is divisible by the number (20) 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 2432289620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711802240).

2432289620 is an abundant number, since it is smaller than the sum of its proper divisors (2991314860).

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

2432289620 is a wasteful number, since it uses less digits than its factorization.

2432289620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20312 (or 20310 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2432289620 is about 49318.2483468341. The cubic root of 2432289620 is about 1344.8435430194.

The spelling of 2432289620 in words is "two billion, four hundred thirty-two million, two hundred eighty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 359 718 1436 1795 3590 6103 7180 12206 19927 24412 30515 39854 61030 79708 99635 122060 199270 338759 398540 677518 1355036 1693795 3387590 6775180 7153793 14307586 28615172 35768965 71537930 121614481 143075860 243228962 486457924 608072405 1216144810 2432289620