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8413085296 = 247119077529
BaseRepresentation
bin1111101010111010…
…10111111001110000
3210201022201000101201
413311131113321300
5114212222212141
63510453340544
7415325021320
oct76535277160
923638630351
108413085296
113627a70560
121769637754
13a40cb66a5
1459b4b7280
153438e6031
hex1f5757e70

8413085296 has 80 divisors (see below), whose sum is σ = 20347626240. Its totient is φ = 3273776640.

The previous prime is 8413085293. The next prime is 8413085309. The reversal of 8413085296 is 6925803148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8413085293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113660 + ... + 1121188.

It is an arithmetic number, because the mean of its divisors is an integer number (254345328).

Almost surely, 28413085296 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 8413085296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173813120).

8413085296 is an abundant number, since it is smaller than the sum of its proper divisors (11934540944).

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

8413085296 is a wasteful number, since it uses less digits than its factorization.

8413085296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 8413085296 is about 91722.8722620481. The cubic root of 8413085296 is about 2033.8477094316.

The spelling of 8413085296 in words is "eight billion, four hundred thirteen million, eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 907 1232 1814 3628 6349 7256 7529 9977 12698 14512 15058 19954 25396 30116 39908 50792 52703 60232 69839 79816 82819 101584 105406 120464 139678 159632 165638 210812 279356 331276 421624 558712 579733 662552 843248 1117424 1159466 1325104 2318932 4637864 6828803 9275728 13657606 27315212 47801621 54630424 75116833 95603242 109260848 150233666 191206484 300467332 382412968 525817831 600934664 764825936 1051635662 1201869328 2103271324 4206542648 8413085296