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4262382048 = 253409108557
BaseRepresentation
bin1111111000001110…
…1100100111100000
3102000001102102221210
43332003230213200
532212132211143
61542541350120
7210424435551
oct37603544740
912001372853
104262382048
1118980047a1
129ab568340
1352c0aac72
142c6134328
1519e303033
hexfe0ec9e0

4262382048 has 48 divisors (see below), whose sum is σ = 11216212560. Its totient is φ = 1417307136.

The previous prime is 4262381971. The next prime is 4262382053. The reversal of 4262382048 is 8402832624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×42623820482 = 36335801446225348608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4262381997 and 4262382015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15015 + ... + 93542.

It is an arithmetic number, because the mean of its divisors is an integer number (233671095).

Almost surely, 24262382048 is an apocalyptic number.

4262382048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4262382048 is an abundant number, since it is smaller than the sum of its proper divisors (6953830512).

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

4262382048 is a wasteful number, since it uses less digits than its factorization.

4262382048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108979 (or 108971 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4262382048 is about 65286.9209566510. The cubic root of 4262382048 is about 1621.3774353974.

The spelling of 4262382048 in words is "four billion, two hundred sixty-two million, three hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 409 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 39264 108557 217114 325671 434228 651342 868456 1302684 1736912 2605368 3473824 5210736 10421472 44399813 88799626 133199439 177599252 266398878 355198504 532797756 710397008 1065595512 1420794016 2131191024 4262382048