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8041675752 = 233211101229439
BaseRepresentation
bin1110111110101001…
…00011101111101000
3202202102211110021200
413133110203233220
5112432132111002
63405545004200
7403165054545
oct73724435750
922672743250
108041675752
113457353020
121685183660
139b2075626
14564035bcc
15320ecdb1c
hex1df523be8

8041675752 has 192 divisors, whose sum is σ = 24154416000. Its totient is φ = 2396736000.

The previous prime is 8041675721. The next prime is 8041675757. The reversal of 8041675752 is 2575761408.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8041675698 and 8041675707.

It is not an unprimeable number, because it can be changed into a prime (8041675757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18317949 + ... + 18318387.

It is an arithmetic number, because the mean of its divisors is an integer number (125804250).

Almost surely, 28041675752 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 8041675752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077208000).

8041675752 is an abundant number, since it is smaller than the sum of its proper divisors (16112740248).

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

8041675752 is a wasteful number, since it uses less digits than its factorization.

8041675752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 8041675752 is about 89675.3910055596. The cubic root of 8041675752 is about 2003.4669659342.

The spelling of 8041675752 in words is "eight billion, forty-one million, six hundred seventy-five thousand, seven hundred fifty-two".