Search a number
-
+
4060742832 = 243279491727
BaseRepresentation
bin1111001000001010…
…0000010010110000
3101111000000002221200
43302002200102300
531304022232312
61510535451200
7202425513246
oct36202402260
911430002850
104060742832
1117a4202213
12953b26b00
134c939b813
142a7446796
1518b7730dc
hexf20a04b0

4060742832 has 120 divisors (see below), whose sum is σ = 11547594240. Its totient is φ = 1331890560.

The previous prime is 4060742813. The next prime is 4060742837. The reversal of 4060742832 is 2382470604.

4060742832 is a `hidden beast` number, since 4 + 0 + 607 + 42 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4060742837) 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 23 ways as a sum of consecutive naturals, for example, 5585253 + ... + 5585979.

It is an arithmetic number, because the mean of its divisors is an integer number (96229952).

Almost surely, 24060742832 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 4060742832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773797120).

4060742832 is an abundant number, since it is smaller than the sum of its proper divisors (7486851408).

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

4060742832 is a wasteful number, since it uses less digits than its factorization.

4060742832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4060742832 is about 63723.9580691595. The cubic root of 4060742832 is about 1595.3959875421.

The spelling of 4060742832 in words is "four billion, sixty million, seven hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 491 632 711 727 948 982 1264 1422 1454 1473 1896 1964 2181 2844 2908 2946 3792 3928 4362 4419 5688 5816 5892 6543 7856 8724 8838 11376 11632 11784 13086 17448 17676 23568 26172 34896 35352 38789 52344 57433 70704 77578 104688 114866 116367 155156 172299 229732 232734 310312 344598 349101 356957 459464 465468 516897 620624 689196 698202 713914 918928 930936 1033794 1070871 1378392 1396404 1427828 1861872 2067588 2141742 2756784 2792808 2855656 3212613 4135176 4283484 5585616 5711312 6425226 8270352 8566968 12850452 17133936 25700904 28199603 51401808 56399206 84598809 112798412 169197618 225596824 253796427 338395236 451193648 507592854 676790472 1015185708 1353580944 2030371416 4060742832