Search a number
-
+
3944952 = 23321117293
BaseRepresentation
bin1111000011000111111000
321102102110100
433003013320
52002214302
6220315400
745350214
oct17030770
97372410
103944952
1122549a0
1213a2b60
13a817bb
14749944
1552dd1c
hex3c31f8

3944952 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1121280.

The previous prime is 3944933. The next prime is 3944953. The reversal of 3944952 is 2594493.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13318 + ... + 13610.

Almost surely, 23944952 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 3944952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

3944952 is an abundant number, since it is smaller than the sum of its proper divisors (8438328).

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

3944952 is a wasteful number, since it uses less digits than its factorization.

3944952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3944952 is about 1986.1903232067. The cubic root of 3944952 is about 158.0085451769.

It can be divided in two parts, 39 and 44952, that multiplied together give a triangular number (1753128 = T1872).

The spelling of 3944952 in words is "three million, nine hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 293 306 374 396 408 561 586 612 748 792 879 1122 1172 1224 1496 1683 1758 2244 2344 2637 3223 3366 3516 4488 4981 5274 6446 6732 7032 9669 9962 10548 12892 13464 14943 19338 19924 21096 25784 29007 29886 38676 39848 44829 54791 58014 59772 77352 89658 109582 116028 119544 164373 179316 219164 232056 328746 358632 438328 493119 657492 986238 1314984 1972476 3944952