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2486134728 = 23337112107127
BaseRepresentation
bin1001010000101111…
…0110011111001000
320102021002201201000
42110023312133020
520042422302403
61050410255000
7115415540130
oct22413663710
96367081630
102486134728
1110663a3900
12594727460
133080b644c
14198281ac0
15e83dc7a3
hex942f67c8

2486134728 has 384 divisors, whose sum is σ = 8825241600. Its totient is φ = 634677120.

The previous prime is 2486134697. The next prime is 2486134751. The reversal of 2486134728 is 8274316842.

It is a happy number.

2486134728 is a `hidden beast` number, since 2 + 4 + 8 + 613 + 4 + 7 + 28 = 666.

2486134728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 19575801 + ... + 19575927.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 22486134728 is an apocalyptic number.

2486134728 is a gapful number since it is divisible by the number (28) 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 2486134728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

2486134728 is an abundant number, since it is smaller than the sum of its proper divisors (6339106872).

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

2486134728 is a wasteful number, since it uses less digits than its factorization.

2486134728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2486134728 is about 49861.1544992693. The cubic root of 2486134728 is about 1354.6950795112.

The spelling of 2486134728 in words is "two billion, four hundred eighty-six million, one hundred thirty-four thousand, seven hundred twenty-eight".