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8445225448 = 2311853112507
BaseRepresentation
bin1111101110101111…
…11110100111101000
3210210120011220101201
413313113332213220
5114243434203243
63514002253544
7416165142352
oct76727764750
923716156351
108445225448
113644122970
1217783572b4
13a4785a82a
145a18820d2
1534664404d
hex1f75fe9e8

8445225448 has 32 divisors (see below), whose sum is σ = 17294729760. Its totient is φ = 3834204480.

The previous prime is 8445225433. The next prime is 8445225449.

8445225448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8445225398 and 8445225407.

It is not an unprimeable number, because it can be changed into a prime (8445225449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18811 + ... + 131317.

It is an arithmetic number, because the mean of its divisors is an integer number (540460305).

Almost surely, 28445225448 is an apocalyptic number.

8445225448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8445225448 is an abundant number, since it is smaller than the sum of its proper divisors (8849504312).

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

8445225448 is a wasteful number, since it uses less digits than its factorization.

8445225448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113377 (or 113373 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 46.

The square root of 8445225448 is about 91897.9077454977. The cubic root of 8445225448 is about 2036.4343589726.

The spelling of 8445225448 in words is "eight billion, four hundred forty-five million, two hundred twenty-five thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 853 1706 3412 6824 9383 18766 37532 75064 112507 225014 450028 900056 1237577 2475154 4950308 9900616 95968471 191936942 383873884 767747768 1055653181 2111306362 4222612724 8445225448