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749805056 = 29721121319
BaseRepresentation
bin101100101100010…
…001111000000000
31221020220001011122
4230230101320000
53013422230211
6202222531412
724403144400
oct5454217000
91836801148
10749805056
11355277700
1218b136b68
13bc459b40
1471820800
1545c5e6db
hex2cb11e00

749805056 has 360 divisors, whose sum is σ = 2171501640. Its totient is φ = 255467520.

The previous prime is 749805047. The next prime is 749805073. The reversal of 749805056 is 650508947.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 749804998 and 749805016.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 39463415 + ... + 39463433.

It is an arithmetic number, because the mean of its divisors is an integer number (6031949).

Almost surely, 2749805056 is an apocalyptic number.

749805056 is a gapful number since it is divisible by the number (76) 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 749805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085750820).

749805056 is an abundant number, since it is smaller than the sum of its proper divisors (1421696584).

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

749805056 is a wasteful number, since it uses less digits than its factorization.

749805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 749805056 is about 27382.5684697400. The cubic root of 749805056 is about 908.4815703154.

The spelling of 749805056 in words is "seven hundred forty-nine million, eight hundred five thousand, fifty-six".