Search a number
-
+
4004052804 = 2233257144259
BaseRepresentation
bin1110111010101000…
…1111111101000100
3101100001022221212000
43232222033331010
531200014142204
61501152425300
7201136613223
oct35652177504
911301287760
104004052804
111775202154
12938b48230
134ba71031b
1429dacacba
151867c6039
hexeea8ff44

4004052804 has 48 divisors (see below), whose sum is σ = 10421342400. Its totient is φ = 1329481728.

The previous prime is 4004052803. The next prime is 4004052809. The reversal of 4004052804 is 4082504004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4004052803) 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 15 ways as a sum of consecutive naturals, for example, 44374 + ... + 99885.

It is an arithmetic number, because the mean of its divisors is an integer number (217111300).

Almost surely, 24004052804 is an apocalyptic number.

It is an amenable number.

4004052804 is an abundant number, since it is smaller than the sum of its proper divisors (6417289596).

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

4004052804 is a wasteful number, since it uses less digits than its factorization.

4004052804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144529 (or 144521 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4004052804 is about 63277.5853205541. The cubic root of 4004052804 is about 1587.9369897824.

Adding to 4004052804 its reverse (4082504004), we get a palindrome (8086556808).

The spelling of 4004052804 in words is "four billion, four million, fifty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 9252 13878 27756 144259 288518 432777 577036 865554 1298331 1731108 2596662 3894993 5193324 7789986 15579972 37074563 74149126 111223689 148298252 222447378 333671067 444894756 667342134 1001013201 1334684268 2002026402 4004052804