Search a number
-
+
5762372 = 2271153353
BaseRepresentation
bin10101111110110101000100
3101211202111012
4111332311010
52433343442
6323301352
766656630
oct25766504
911752435
105762372
1132863a0
121b1a858
131269ab5
14a9ddc0
1578c582
hex57ed44

5762372 has 48 divisors (see below), whose sum is σ = 12845952. Its totient is φ = 2196480.

The previous prime is 5762359. The next prime is 5762381. The reversal of 5762372 is 2732675.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16148 + ... + 16500.

It is an arithmetic number, because the mean of its divisors is an integer number (267624).

Almost surely, 25762372 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 5762372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422976).

5762372 is an abundant number, since it is smaller than the sum of its proper divisors (7083580).

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

5762372 is a wasteful number, since it uses less digits than its factorization.

5762372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its digits is 17640, while the sum is 32.

The square root of 5762372 is about 2400.4941158020. The cubic root of 5762372 is about 179.2807927170.

The spelling of 5762372 in words is "five million, seven hundred sixty-two thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 154 212 308 353 371 583 706 742 1166 1412 1484 2332 2471 3883 4081 4942 7766 8162 9884 15532 16324 18709 27181 37418 54362 74836 108724 130963 205799 261926 411598 523852 823196 1440593 2881186 5762372