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4076783304 = 2331122367911
BaseRepresentation
bin1111001011111110…
…1100011011001000
3101112010012001100020
43302333230123020
531322124031204
61512311340440
7203012041416
oct36277543310
911463161306
104076783304
111802268700
12959381720
134cc7c6919
142a96202b6
1518cd90bd9
hexf2fec6c8

4076783304 has 192 divisors, whose sum is σ = 11877304320. Its totient is φ = 1162761600.

The previous prime is 4076783303. The next prime is 4076783329. The reversal of 4076783304 is 4033876704.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4076783303) 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 47 ways as a sum of consecutive naturals, for example, 4474609 + ... + 4475519.

It is an arithmetic number, because the mean of its divisors is an integer number (61860960).

Almost surely, 24076783304 is an apocalyptic number.

4076783304 is a gapful number since it is divisible by the number (44) 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 4076783304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938652160).

4076783304 is an abundant number, since it is smaller than the sum of its proper divisors (7800521016).

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

4076783304 is a wasteful number, since it uses less digits than its factorization.

4076783304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 4076783304 is about 63849.6930611260. The cubic root of 4076783304 is about 1597.4939027640.

The spelling of 4076783304 in words is "four billion, seventy-six million, seven hundred eighty-three thousand, three hundred four".