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3794833152 = 283411127131
BaseRepresentation
bin1110001000110000…
…1000111100000000
3100210110122111110000
43202030020330000
530232434130102
61424320240000
7163016356335
oct34214107400
910713574400
103794833152
1116780a2350
1289aa70000
13486278706
1427ddc898c
1517324a01c
hexe2308f00

3794833152 has 360 divisors, whose sum is σ = 12536358912. Its totient is φ = 1132185600.

The previous prime is 3794833151. The next prime is 3794833249. The reversal of 3794833152 is 2513384973.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3794833098 and 3794833107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3794833151) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28968127 + ... + 28968257.

Almost surely, 23794833152 is an apocalyptic number.

3794833152 is a gapful number since it is divisible by the number (32) 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 3794833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268179456).

3794833152 is an abundant number, since it is smaller than the sum of its proper divisors (8741525760).

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

3794833152 is a wasteful number, since it uses less digits than its factorization.

3794833152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3794833152 is about 61602.2171029582. The cubic root of 3794833152 is about 1559.7831651283.

The spelling of 3794833152 in words is "three billion, seven hundred ninety-four million, eight hundred thirty-three thousand, one hundred fifty-two".