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5748409920 = 2635112174171
BaseRepresentation
bin1010101101010000…
…11100011001000000
3112211121122110222010
411112220130121000
543233043104140
62350224212520
7262310451411
oct52650343100
915747573863
105748409920
11248a911500
12114516a140
13707c1a6b6
143c763b808
152399dc880
hex156a1c640

5748409920 has 672 divisors, whose sum is σ = 22065861888. Its totient is φ = 1261568000.

The previous prime is 5748409897. The next prime is 5748409973. The reversal of 5748409920 is 299048475.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5748409920.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 80963485 + ... + 80963555.

It is an arithmetic number, because the mean of its divisors is an integer number (32836104).

Almost surely, 25748409920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5748409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032930944).

5748409920 is an abundant number, since it is smaller than the sum of its proper divisors (16317451968).

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

5748409920 is a wasteful number, since it uses less digits than its factorization.

5748409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 5748409920 is about 75818.2690385371. The cubic root of 5748409920 is about 1791.3587802033.

The spelling of 5748409920 in words is "five billion, seven hundred forty-eight million, four hundred nine thousand, nine hundred twenty".