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7982417226 = 237233780567
BaseRepresentation
bin1110110111100101…
…00000010101001010
3202121022022210212110
413123302200111022
5112321444322401
63400030523150
7401545266300
oct73362402512
922538283773
107982417226
113426959233
1216693664b6
139a29c8004
1455a20c270
1531abc59d6
hex1dbca054a

7982417226 has 48 divisors (see below), whose sum is σ = 18626677056. Its totient is φ = 2273894784.

The previous prime is 7982417221. The next prime is 7982417227. The reversal of 7982417226 is 6227142897.

It is not an unprimeable number, because it can be changed into a prime (7982417221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58795 + ... + 139361.

It is an arithmetic number, because the mean of its divisors is an integer number (388055772).

Almost surely, 27982417226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7982417226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313338528).

7982417226 is an abundant number, since it is smaller than the sum of its proper divisors (10644259830).

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

7982417226 is a wasteful number, since it uses less digits than its factorization.

7982417226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80923 (or 80916 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 7982417226 is about 89344.3743388469. The cubic root of 7982417226 is about 1998.5336940695.

The spelling of 7982417226 in words is "seven billion, nine hundred eighty-two million, four hundred seventeen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 337 674 1011 2022 2359 4718 7077 14154 16513 33026 49539 80567 99078 161134 241701 483402 563969 1127938 1691907 3383814 3947783 7895566 11843349 23686698 27151079 54302158 81453237 162906474 190057553 380115106 570172659 1140345318 1330402871 2660805742 3991208613 7982417226