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8413652080 = 2452338311939
BaseRepresentation
bin1111101010111111…
…00010010001110000
3210201100202210212201
413311133202101300
5114212343331310
63510513432544
7415332601621
oct76537422160
923640683781
108413652080
113628318379
12176986b754
13a41154672
1459b5c3a48
153439a8e3a
hex1f57e2470

8413652080 has 80 divisors (see below), whose sum is σ = 20467261440. Its totient is φ = 3210462464.

The previous prime is 8413652077. The next prime is 8413652081. The reversal of 8413652080 is 802563148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8413652081) 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, 698751 + ... + 710689.

It is an arithmetic number, because the mean of its divisors is an integer number (255840768).

Almost surely, 28413652080 is an apocalyptic number.

8413652080 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 8413652080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233630720).

8413652080 is an abundant number, since it is smaller than the sum of its proper divisors (12053609360).

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

8413652080 is a wasteful number, since it uses less digits than its factorization.

8413652080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12358 (or 12352 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 8413652080 is about 91725.9618646760. The cubic root of 8413652080 is about 2033.8933813983.

The spelling of 8413652080 in words is "eight billion, four hundred thirteen million, six hundred fifty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 383 460 766 920 1532 1840 1915 3064 3830 6128 7660 8809 11939 15320 17618 23878 30640 35236 44045 47756 59695 70472 88090 95512 119390 140944 176180 191024 238780 274597 352360 477560 549194 704720 955120 1098388 1372985 2196776 2745970 4393552 4572637 5491940 9145274 10983880 18290548 21967760 22863185 36581096 45726370 73162192 91452740 105170651 182905480 210341302 365810960 420682604 525853255 841365208 1051706510 1682730416 2103413020 4206826040 8413652080