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2482312536 = 233211232937127
BaseRepresentation
bin1001001111110101…
…0001010101011000
320101222220112122100
42103331101111120
520040433000121
61050152323400
7115341210534
oct22375212530
96358815570
102482312536
111064223170
125933a3560
133073787b2
14197968bc4
15e7dd5026
hex93f51558

2482312536 has 384 divisors, whose sum is σ = 8194867200. Its totient is φ = 670602240.

The previous prime is 2482312529. The next prime is 2482312541. The reversal of 2482312536 is 6352132842.

2482312536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2482312536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19545705 + ... + 19545831.

It is an arithmetic number, because the mean of its divisors is an integer number (21340800).

Almost surely, 22482312536 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 2482312536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097433600).

2482312536 is an abundant number, since it is smaller than the sum of its proper divisors (5712554664).

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

2482312536 is a wasteful number, since it uses less digits than its factorization.

2482312536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

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

The square root of 2482312536 is about 49822.8114020074. The cubic root of 2482312536 is about 1354.0004858226. Note that the first 3 decimals are identical.

The spelling of 2482312536 in words is "two billion, four hundred eighty-two million, three hundred twelve thousand, five hundred thirty-six".