Search a number
-
+
12457944 = 2332712437
BaseRepresentation
bin101111100001…
…011111011000
3212102221002100
4233201133120
511142123234
61123003400
7210614352
oct57413730
925387070
1012457944
117039924
124209560
132772585
1419240d2
151161399
hexbe17d8

12457944 has 48 divisors (see below), whose sum is σ = 34229520. Its totient is φ = 4092480.

The previous prime is 12457933. The next prime is 12457967. The reversal of 12457944 is 44975421.

It is a happy number.

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).

Its product of digits (40320) is a multiple of the sum of its prime factors (2520).

It is a junction number, because it is equal to n+sod(n) for n = 12457899 and 12457908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3894 + ... + 6330.

It is an arithmetic number, because the mean of its divisors is an integer number (713115).

Almost surely, 212457944 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 12457944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17114760).

12457944 is an abundant number, since it is smaller than the sum of its proper divisors (21771576).

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

12457944 is a wasteful number, since it uses less digits than its factorization.

12457944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2513 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12457944 is about 3529.5812782822. The cubic root of 12457944 is about 231.8188736899.

The spelling of 12457944 in words is "twelve million, four hundred fifty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2437 2556 4874 5112 7311 9748 14622 19496 21933 29244 43866 58488 87732 173027 175464 346054 519081 692108 1038162 1384216 1557243 2076324 3114486 4152648 6228972 12457944