[go: up one dir, main page]

Search a number
-
+
3839797248 = 211371937127
BaseRepresentation
bin1110010011011110…
…1010100000000000
3100220121020220120220
43210313222200000
530330442002443
61433004103040
7164103511110
oct34467524000
910817226526
103839797248
1116a0513561
128b1b34a80
1349268c8a1
14285d71040
1517717ca83
hexe4dea800

3839797248 has 384 divisors, whose sum is σ = 12747571200. Its totient is φ = 1003290624.

The previous prime is 3839797223. The next prime is 3839797249. The reversal of 3839797248 is 8427979383.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3839797191 and 3839797200.

It is not an unprimeable number, because it can be changed into a prime (3839797249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30234561 + ... + 30234687.

It is an arithmetic number, because the mean of its divisors is an integer number (33196800).

Almost surely, 23839797248 is an apocalyptic number.

3839797248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3839797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373785600).

3839797248 is an abundant number, since it is smaller than the sum of its proper divisors (8907773952).

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

3839797248 is a wasteful number, since it uses less digits than its factorization.

3839797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The square root of 3839797248 is about 61966.0975695581. The cubic root of 3839797248 is about 1565.9194953143.

The spelling of 3839797248 in words is "three billion, eight hundred thirty-nine million, seven hundred ninety-seven thousand, two hundred forty-eight".