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2488246992 = 24337111931127
BaseRepresentation
bin1001010001001111…
…1010001011010000
320102102002001012000
42110103322023100
520043442400432
61050523434000
7115442515260
oct22423721320
96372061160
102488246992
111067606880
12595385900
133086759ca
141986717a0
15e86a857c
hex944fa2d0

2488246992 has 640 divisors, whose sum is σ = 9751756800. Its totient is φ = 587865600.

The previous prime is 2488246967. The next prime is 2488247017. The reversal of 2488246992 is 2996428842.

It is an interprime number because it is at equal distance from previous prime (2488246967) and next prime (2488247017).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 19592433 + ... + 19592559.

It is an arithmetic number, because the mean of its divisors is an integer number (15237120).

Almost surely, 22488246992 is an apocalyptic number.

2488246992 is a gapful number since it is divisible by the number (22) 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 2488246992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875878400).

2488246992 is an abundant number, since it is smaller than the sum of its proper divisors (7263509808).

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

2488246992 is a wasteful number, since it uses less digits than its factorization.

2488246992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2488246992 is about 49882.3314611496. The cubic root of 2488246992 is about 1355.0786285350.

The spelling of 2488246992 in words is "two billion, four hundred eighty-eight million, two hundred forty-six thousand, nine hundred ninety-two".