Search a number
-
+
4139696232 = 2332740120483
BaseRepresentation
bin1111011010111110…
…1100000001101000
3101200111120100122200
43312233230001220
531434230234412
61522440020200
7204404560140
oct36657540150
911614510580
104139696232
111834829061
12976461660
1350c8536c9
142b3b19920
1519366b9dc
hexf6bec068

4139696232 has 96 divisors (see below), whose sum is σ = 12845926080. Its totient is φ = 1179763200.

The previous prime is 4139696213. The next prime is 4139696233. The reversal of 4139696232 is 2326969314.

4139696232 is a `hidden beast` number, since 4 + 13 + 9 + 6 + 9 + 623 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4139696233) 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 23 ways as a sum of consecutive naturals, for example, 191863 + ... + 212345.

It is an arithmetic number, because the mean of its divisors is an integer number (133811730).

Almost surely, 24139696232 is an apocalyptic number.

4139696232 is a gapful number since it is divisible by the number (42) 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 4139696232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422963040).

4139696232 is an abundant number, since it is smaller than the sum of its proper divisors (8706229848).

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

4139696232 is a wasteful number, since it uses less digits than its factorization.

4139696232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20903 (or 20896 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 4139696232 is about 64340.4711826079. The cubic root of 4139696232 is about 1605.6695002920.

The spelling of 4139696232 in words is "four billion, one hundred thirty-nine million, six hundred ninety-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 401 504 802 1203 1604 2406 2807 3208 3609 4812 5614 7218 8421 9624 11228 14436 16842 20483 22456 25263 28872 33684 40966 50526 61449 67368 81932 101052 122898 143381 163864 184347 202104 245796 286762 368694 430143 491592 573524 737388 860286 1147048 1290429 1474776 1720572 2580858 3441144 5161716 8213683 10323432 16427366 24641049 32854732 49282098 57495781 65709464 73923147 98564196 114991562 147846294 172487343 197128392 229983124 295692588 344974686 459966248 517462029 591385176 689949372 1034924058 1379898744 2069848116 4139696232