Search a number
-
+
4073689824 = 25342434269
BaseRepresentation
bin1111001011001111…
…1001001011100000
3101111220100212212220
43302303321023200
531320331033244
61512121151040
7202643535501
oct36263711340
911456325786
104073689824
111800545506
1295832b480
134cbc82869
142a9056ba8
1518c97e319
hexf2cf92e0

4073689824 has 24 divisors (see below), whose sum is σ = 10693436040. Its totient is φ = 1357896576.

The previous prime is 4073689811. The next prime is 4073689831. The reversal of 4073689824 is 4289863704.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×40736898242 = 33189897564322301952, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 21217039 + ... + 21217230.

It is an arithmetic number, because the mean of its divisors is an integer number (445559835).

Almost surely, 24073689824 is an apocalyptic number.

It is an amenable number.

4073689824 is an abundant number, since it is smaller than the sum of its proper divisors (6619746216).

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

4073689824 is a wasteful number, since it uses less digits than its factorization.

4073689824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42434282 (or 42434274 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 4073689824 is about 63825.4637585972. The cubic root of 4073689824 is about 1597.0897388637.

The spelling of 4073689824 in words is "four billion, seventy-three million, six hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 42434269 84868538 127302807 169737076 254605614 339474152 509211228 678948304 1018422456 1357896608 2036844912 4073689824