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4213390048 = 2574293161
BaseRepresentation
bin1111101100100011…
…0011101011100000
3101212122020101120021
43323020303223200
532112111440143
61534031323224
7206261140000
oct37310635340
911778211507
104213390048
11187239233a
12997080514
13521bb660a
142bd820000
15199d76ced
hexfb233ae0

4213390048 has 240 divisors, whose sum is σ = 10503077760. Its totient is φ = 1659571200.

The previous prime is 4213390043. The next prime is 4213390091. The reversal of 4213390048 is 8400933124.

It is a junction number, because it is equal to n+sod(n) for n = 4213389995 and 4213390022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213390043) 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 39 ways as a sum of consecutive naturals, for example, 69071938 + ... + 69071998.

It is an arithmetic number, because the mean of its divisors is an integer number (43762824).

Almost surely, 24213390048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213390048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251538880).

4213390048 is an abundant number, since it is smaller than the sum of its proper divisors (6289687712).

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

4213390048 is an equidigital number, since it uses as much as digits as its factorization.

4213390048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4213390048 is about 64910.6312401905. The cubic root of 4213390048 is about 1615.1414213494.

The spelling of 4213390048 in words is "four billion, two hundred thirteen million, three hundred ninety thousand, forty-eight".