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8290004920 = 235619193697
BaseRepresentation
bin1111011100001111…
…10110111110111000
3210101202002212212021
413232013312332320
5113434220124140
63450335324224
7412301610361
oct75607667670
923352085767
108290004920
11357454543a
121734380674
13a21651672
14588dd8b68
15337bd2b4a
hex1ee1f6fb8

8290004920 has 64 divisors (see below), whose sum is σ = 18984052800. Its totient is φ = 3257210880.

The previous prime is 8290004887. The next prime is 8290004923. The reversal of 8290004920 is 294000928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290004923) 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, 2240512 + ... + 2244208.

It is an arithmetic number, because the mean of its divisors is an integer number (296625825).

Almost surely, 28290004920 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 8290004920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492026400).

8290004920 is an abundant number, since it is smaller than the sum of its proper divisors (10694047880).

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

8290004920 is a wasteful number, since it uses less digits than its factorization.

8290004920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8290004920 is about 91049.4641390052. The cubic root of 8290004920 is about 2023.8807955490.

The spelling of 8290004920 in words is "eight billion, two hundred ninety million, four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 919 1220 1838 2440 3676 3697 4595 7352 7394 9190 14788 18380 18485 29576 36760 36970 56059 73940 112118 147880 224236 225517 280295 448472 451034 560590 902068 1121180 1127585 1804136 2242360 2255170 3397543 4510340 6795086 9020680 13590172 16987715 27180344 33975430 67950860 135901720 207250123 414500246 829000492 1036250615 1658000984 2072501230 4145002460 8290004920