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2496233376 = 253471319557
BaseRepresentation
bin1001010011001001…
…0111111110100000
320102222002210110000
42110302113332200
520103013432001
61051410540000
7115600430220
oct22462277640
96388083400
102496233376
11107107109a
12597b97600
1330a210b90
14199750080
15e9234a86
hex94c97fa0

2496233376 has 480 divisors, whose sum is σ = 9528140160. Its totient is φ = 622577664.

The previous prime is 2496233371. The next prime is 2496233417. The reversal of 2496233376 is 6733326942.

2496233376 is a `hidden beast` number, since 2 + 49 + 6 + 233 + 376 = 666.

2496233376 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 not an unprimeable number, because it can be changed into a prime (2496233371) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481290 + ... + 4481846.

It is an arithmetic number, because the mean of its divisors is an integer number (19850292).

Almost surely, 22496233376 is an apocalyptic number.

2496233376 is a gapful number since it is divisible by the number (26) 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 2496233376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764070080).

2496233376 is an abundant number, since it is smaller than the sum of its proper divisors (7031906784).

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

2496233376 is a wasteful number, since it uses less digits than its factorization.

2496233376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 601 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 2496233376 is about 49962.3195618458. The cubic root of 2496233376 is about 1356.5268529908.

It can be divided in two parts, 249623 and 3376, that multiplied together give a palindrome (842727248).

The spelling of 2496233376 in words is "two billion, four hundred ninety-six million, two hundred thirty-three thousand, three hundred seventy-six".