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8062090336 = 2517195314717
BaseRepresentation
bin1111000001000100…
…11011110001100000
3202210212020121211101
413200202123301200
5113002343342321
63411554324144
7403533431356
oct74042336140
922725217741
108062090336
113467926883
12168bb89654
139b6372671
14566a2b7d6
15322bb2791
hex1e089bc60

8062090336 has 96 divisors (see below), whose sum is σ = 18025428960. Its totient is φ = 3526189056.

The previous prime is 8062090331. The next prime is 8062090343. The reversal of 8062090336 is 6330902608.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8062090295 and 8062090304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8062090331) 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, 540450 + ... + 555166.

It is an arithmetic number, because the mean of its divisors is an integer number (187764885).

Almost surely, 28062090336 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 8062090336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9012714480).

8062090336 is an abundant number, since it is smaller than the sum of its proper divisors (9963338624).

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

8062090336 is a wasteful number, since it uses less digits than its factorization.

8062090336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 8062090336 is about 89789.1437535741. The cubic root of 8062090336 is about 2005.1608659433.

The spelling of 8062090336 in words is "eight billion, sixty-two million, ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 53 68 76 106 136 152 212 272 304 323 424 544 608 646 848 901 1007 1292 1696 1802 2014 2584 3604 4028 5168 7208 8056 10336 14416 14717 16112 17119 28832 29434 32224 34238 58868 68476 117736 136952 235472 250189 273904 279623 470944 500378 547808 559246 780001 1000756 1118492 1560002 2001512 2236984 3120004 4003024 4473968 4753591 6240008 8006048 8947936 9507182 12480016 13260017 14820019 19014364 24960032 26520034 29640038 38028728 53040068 59280076 76057456 106080136 118560152 152114912 212160272 237120304 251940323 424320544 474240608 503880646 1007761292 2015522584 4031045168 8062090336