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8041059840 = 293511217509
BaseRepresentation
bin1110111110100100…
…01101011000000000
3202202101200011102010
413133102031120000
5112432002403330
63405523452520
7403156611102
oct73722153000
922671604363
108041059840
113456a72300
121684b27140
139b1bbb198
14563d15572
15320e0b3b0
hex1df48d600

8041059840 has 480 divisors, whose sum is σ = 29976518880. Its totient is φ = 1831075840.

The previous prime is 8041059839. The next prime is 8041059889. The reversal of 8041059840 is 489501408.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15797506 + ... + 15798014.

It is an arithmetic number, because the mean of its divisors is an integer number (62451081).

Almost surely, 28041059840 is an apocalyptic number.

8041059840 is a gapful number since it is divisible by the number (80) 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 8041059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988259440).

8041059840 is an abundant number, since it is smaller than the sum of its proper divisors (21935459040).

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

8041059840 is a wasteful number, since it uses less digits than its factorization.

8041059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 8041059840 is about 89671.9568204018. The cubic root of 8041059840 is about 2003.4158161122.

The spelling of 8041059840 in words is "eight billion, forty-one million, fifty-nine thousand, eight hundred forty".