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2480341248 = 283271123141
BaseRepresentation
bin1001001111010111…
…0000000100000000
320101212012101112200
42103311300010000
520034431404443
61050042153200
7115315360410
oct22365600400
96355171480
102480341248
1110630a7100
125927b2800
13306b38458
141975b4640
15e7b45dd3
hex93d70100

2480341248 has 648 divisors, whose sum is σ = 9499596288. Its totient is φ = 608256000.

The previous prime is 2480341243. The next prime is 2480341291. The reversal of 2480341248 is 8421430842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480341243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60496108 + ... + 60496148.

Almost surely, 22480341248 is an apocalyptic number.

2480341248 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 2480341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749798144).

2480341248 is an abundant number, since it is smaller than the sum of its proper divisors (7019255040).

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

2480341248 is a wasteful number, since it uses less digits than its factorization.

2480341248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2480341248 is about 49803.0244864707. The cubic root of 2480341248 is about 1353.6419717717.

The spelling of 2480341248 in words is "two billion, four hundred eighty million, three hundred forty-one thousand, two hundred forty-eight".