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4082096744 = 231146387463
BaseRepresentation
bin1111001101001111…
…1101101001101000
3101112111012000000022
43303103331221220
531330004043434
61513021300012
7203105151455
oct36323755150
911474160008
104082096744
111805267780
1295b104608
1350093727b
142aa20482c
1518d59022e
hexf34fda68

4082096744 has 16 divisors (see below), whose sum is σ = 8349743520. Its totient is φ = 1855498480.

The previous prime is 4082096717. The next prime is 4082096747. The reversal of 4082096744 is 4476902804.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4082096695 and 4082096704.

It is not an unprimeable number, because it can be changed into a prime (4082096747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23193644 + ... + 23193819.

It is an arithmetic number, because the mean of its divisors is an integer number (521858970).

Almost surely, 24082096744 is an apocalyptic number.

4082096744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4082096744 is an abundant number, since it is smaller than the sum of its proper divisors (4267646776).

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

4082096744 is a wasteful number, since it uses less digits than its factorization.

4082096744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46387480 (or 46387476 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 4082096744 is about 63891.2884828597. The cubic root of 4082096744 is about 1598.1876280509.

It can be divided in two parts, 408 and 2096744, that added together give a 21-st power (2097152 = 221).

The spelling of 4082096744 in words is "four billion, eighty-two million, ninety-six thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 46387463 92774926 185549852 371099704 510262093 1020524186 2041048372 4082096744