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3824900401 = 7892101683
BaseRepresentation
bin1110001111111011…
…0101100100110001
3100212120020001221211
43203332311210301
530313133303101
61431312520121
7163533055060
oct34376654461
910776201854
103824900401
111693069313
128a8b50041
1348c57519a
14283db41d7
15175bd8c51
hexe3fb5931

3824900401 has 24 divisors (see below), whose sum is σ = 4471291584. Its totient is φ = 3204854400.

The previous prime is 3824900347. The next prime is 3824900447. The reversal of 3824900401 is 1040094283.

3824900401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3824900401 - 219 = 3824376113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3824900801) 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 23 ways as a sum of consecutive naturals, for example, 5599806 + ... + 5600488.

It is an arithmetic number, because the mean of its divisors is an integer number (186303816).

Almost surely, 23824900401 is an apocalyptic number.

It is an amenable number.

3824900401 is a deficient number, since it is larger than the sum of its proper divisors (646391183).

3824900401 is an equidigital number, since it uses as much as digits as its factorization.

3824900401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3824900401 is about 61845.7791688325. The cubic root of 3824900401 is about 1563.8918279167.

Adding to 3824900401 its reverse (1040094283), we get a palindrome (4864994684).

The spelling of 3824900401 in words is "three billion, eight hundred twenty-four million, nine hundred thousand, four hundred one".

Divisors: 1 7 89 101 623 683 707 4781 7921 8989 55447 60787 62923 68983 425509 482881 800021 5410043 5600147 6139487 37870301 42976409 546414343 3824900401