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4097879982 = 232776142737
BaseRepresentation
bin1111010001000000…
…1010111110101110
3101120120212212112200
43310100022332232
531343024124412
61514343442330
7203356255650
oct36420127656
911516785480
104097879982
111813167979
129644563a6
13503ca2271
142ac3526d0
1518eb5b9dc
hexf440afae

4097879982 has 48 divisors (see below), whose sum is σ = 10160703072. Its totient is φ = 1169256960.

The previous prime is 4097879959. The next prime is 4097879983. The reversal of 4097879982 is 2899787904.

4097879982 is a `hidden beast` number, since 409 + 78 + 79 + 98 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097879983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74518 + ... + 117254.

It is an arithmetic number, because the mean of its divisors is an integer number (211681314).

Almost surely, 24097879982 is an apocalyptic number.

4097879982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4097879982 is an abundant number, since it is smaller than the sum of its proper divisors (6062823090).

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

4097879982 is a wasteful number, since it uses less digits than its factorization.

4097879982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43513 (or 43510 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The square root of 4097879982 is about 64014.6856744607. The cubic root of 4097879982 is about 1600.2447518813.

The spelling of 4097879982 in words is "four billion, ninety-seven million, eight hundred seventy-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 761 1522 2283 4566 5327 6849 10654 13698 15981 31962 42737 47943 85474 95886 128211 256422 299159 384633 598318 769266 897477 1794954 2692431 5384862 32522857 65045714 97568571 195137142 227659999 292705713 455319998 585411426 682979997 1365959994 2048939991 4097879982