Search a number
-
+
3962868 = 22371319191
BaseRepresentation
bin1111000111011111110100
321110100000220
433013133310
52003302433
6220534340
745453360
oct17073764
97410026
103962868
1122673a8
1213b13b0
13a899c0
147522a0
155342b3
hex3c77f4

3962868 has 96 divisors (see below), whose sum is σ = 12042240. Its totient is φ = 984960.

The previous prime is 3962867. The next prime is 3962897. The reversal of 3962868 is 8682693.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20653 + ... + 20843.

It is an arithmetic number, because the mean of its divisors is an integer number (125440).

Almost surely, 23962868 is an apocalyptic number.

3962868 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 3962868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021120).

3962868 is an abundant number, since it is smaller than the sum of its proper divisors (8079372).

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

3962868 is a wasteful number, since it uses less digits than its factorization.

3962868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 3962868 is about 1990.6953558995. The cubic root of 3962868 is about 158.2473825901.

The spelling of 3962868 in words is "three million, nine hundred sixty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 191 228 247 266 273 364 382 399 494 532 546 573 741 764 798 988 1092 1146 1337 1482 1596 1729 2292 2483 2674 2964 3458 3629 4011 4966 5187 5348 6916 7258 7449 8022 9932 10374 10887 14516 14898 16044 17381 20748 21774 25403 29796 34762 43548 47177 50806 52143 69524 76209 94354 101612 104286 141531 152418 188708 208572 283062 304836 330239 566124 660478 990717 1320956 1981434 3962868