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3843752004 = 2232103332
BaseRepresentation
bin1110010100011011…
…0000000001000100
3100220212200211111100
43211012300001010
530333000031004
61433224540100
7164152232031
oct34506600104
910825624440
103843752004
1116a2774854
128b3321630
13493445991
142866c0388
151776ae739
hexe51b0044

3843752004 has 27 divisors (see below), whose sum is σ = 9717091293. Its totient is φ = 1281126672.

The previous prime is 3843751999. The next prime is 3843752023. The reversal of 3843752004 is 4002573483.

It is a happy number.

The square root of 3843752004 is 61998.

It is a perfect power (a square), and thus also a powerful number.

3843752004 is a `hidden beast` number, since 3 + 84 + 375 + 200 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2835562500 + 1008189504 = 53250^2 + 31752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3843752004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 366822 + ... + 377154.

Almost surely, 23843752004 is an apocalyptic number.

3843752004 is the 61998-th square number.

It is an amenable number.

3843752004 is an abundant number, since it is smaller than the sum of its proper divisors (5873339289).

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

3843752004 is an equidigital number, since it uses as much as digits as its factorization.

3843752004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The cubic root of 3843752004 is about 1566.4569112469.

Multiplying 3843752004 by its sum of digits (36), we get a square (138375072144 = 3719882).

3843752004 divided by its sum of digits (36) gives a square (106770889 = 103332).

The spelling of 3843752004 in words is "three billion, eight hundred forty-three million, seven hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 10333 20666 30999 41332 61998 92997 123996 185994 371988 106770889 213541778 320312667 427083556 640625334 960938001 1281250668 1921876002 3843752004