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4744059840 = 26355132192
BaseRepresentation
bin1000110101100010…
…01001101111000000
3110020121210012200000
410122301021233000
534203434403330
62102425400000
7225363562152
oct43261115700
913217705600
104744059840
112014997413
12b04939000
135a7b19500
143300baad2
151cb74c560
hex11ac49bc0

4744059840 has 756 divisors, whose sum is σ = 19338929064. Its totient is φ = 1106307072.

The previous prime is 4744059823. The next prime is 4744059851. The reversal of 4744059840 is 489504474.

It is a super-2 number, since 2×47440598402 = 45012207531001651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 249687351 + ... + 249687369.

It is an arithmetic number, because the mean of its divisors is an integer number (25580594).

Almost surely, 24744059840 is an apocalyptic number.

4744059840 is a gapful number since it is divisible by the number (40) 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 4744059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669464532).

4744059840 is an abundant number, since it is smaller than the sum of its proper divisors (14594869224).

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

4744059840 is a wasteful number, since it uses less digits than its factorization.

4744059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4744059840 is about 68877.1358289527. The cubic root of 4744059840 is about 1680.2866857692.

The spelling of 4744059840 in words is "four billion, seven hundred forty-four million, fifty-nine thousand, eight hundred forty".