Search a number
-
+
4004525004 = 223333710417
BaseRepresentation
bin1110111010110000…
…0011001111001100
3101100002012221120220
43232230003033030
531200124300004
61501210511340
7201143621004
oct35654031714
911302187526
104004525004
1117754a49a7
12939135550
134ba84722c
1429dbb1004
1518686add9
hexeeb033cc

4004525004 has 12 divisors (see below), whose sum is σ = 9343891704. Its totient is φ = 1334841664.

The previous prime is 4004525003. The next prime is 4004525029. The reversal of 4004525004 is 4005254004.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×40045250042 = 32072441015322400032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4004525003) 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 3 ways as a sum of consecutive naturals, for example, 166855197 + ... + 166855220.

It is an arithmetic number, because the mean of its divisors is an integer number (778657642).

Almost surely, 24004525004 is an apocalyptic number.

It is an amenable number.

4004525004 is an abundant number, since it is smaller than the sum of its proper divisors (5339366700).

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

4004525004 is a wasteful number, since it uses less digits than its factorization.

4004525004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333710424 (or 333710422 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 4004525004 is about 63281.3163895948. The cubic root of 4004525004 is about 1587.9994094032. Note that the first 3 decimals are identical.

Adding to 4004525004 its reverse (4005254004), we get a palindrome (8009779008).

Subtracting 4004525004 from its reverse (4005254004), we obtain a cube (729000 = 903).

The spelling of 4004525004 in words is "four billion, four million, five hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 12 333710417 667420834 1001131251 1334841668 2002262502 4004525004