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8084420736 = 273710132969
BaseRepresentation
bin1111000011101111…
…00111100010000000
3202212102021010101020
413201313213202000
5113024102430421
63414113105440
7404224304520
oct74167474200
922772233336
108084420736
113479498a57
121697558280
139bab90712
145699a1680
15324b23dc6
hex1e1de7880

8084420736 has 128 divisors (see below), whose sum is σ = 24574492800. Its totient is φ = 2306777088.

The previous prime is 8084420731. The next prime is 8084420749. The reversal of 8084420736 is 6370244808.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8084420731) 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, 2721460 + ... + 2724428.

It is an arithmetic number, because the mean of its divisors is an integer number (191988225).

Almost surely, 28084420736 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 8084420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287246400).

8084420736 is an abundant number, since it is smaller than the sum of its proper divisors (16490072064).

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

8084420736 is a wasteful number, since it uses less digits than its factorization.

8084420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 8084420736 is about 89913.4068757268. The cubic root of 8084420736 is about 2007.0104593515.

The spelling of 8084420736 in words is "eight billion, eighty-four million, four hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1013 1344 2026 2688 2969 3039 4052 5938 6078 7091 8104 8907 11876 12156 14182 16208 17814 20783 21273 23752 24312 28364 32416 35628 41566 42546 47504 48624 56728 62349 64832 71256 83132 85092 95008 97248 113456 124698 129664 142512 166264 170184 190016 194496 226912 249396 285024 332528 340368 380032 388992 453824 498792 570048 665056 680736 907648 997584 1140096 1330112 1361472 1995168 2660224 2722944 3007597 3990336 6015194 7980672 9022791 12030388 18045582 21053179 24060776 36091164 42106358 48121552 63159537 72182328 84212716 96243104 126319074 144364656 168425432 192486208 252638148 288729312 336850864 384972416 505276296 577458624 673701728 1010552592 1154917248 1347403456 2021105184 2694806912 4042210368 8084420736