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2469764352 = 283111729593
BaseRepresentation
bin1001001100110101…
…1001110100000000
320101010022000202210
42103031121310000
520024224424402
61045023342120
7115126436106
oct22315316400
96333260683
102469764352
111058132570
1258b151940
133048a4133
1419601dc76
15e6c5706c
hex93359d00

2469764352 has 288 divisors, whose sum is σ = 7867601280. Its totient is φ = 678952960.

The previous prime is 2469764321. The next prime is 2469764359. The reversal of 2469764352 is 2534679642.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2469764359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4164568 + ... + 4165160.

It is an arithmetic number, because the mean of its divisors is an integer number (27318060).

Almost surely, 22469764352 is an apocalyptic number.

2469764352 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 2469764352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933800640).

2469764352 is an abundant number, since it is smaller than the sum of its proper divisors (5397836928).

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

2469764352 is a wasteful number, since it uses less digits than its factorization.

2469764352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 655 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 2469764352 is about 49696.7237551934. The cubic root of 2469764352 is about 1351.7151226866.

The spelling of 2469764352 in words is "two billion, four hundred sixty-nine million, seven hundred sixty-four thousand, three hundred fifty-two".