Search a number
-
+
743828652 = 223273119491
BaseRepresentation
bin101100010101011…
…110110010101100
31220211122102002100
4230111132302230
53010410004102
6201450455100
724301303440
oct5425366254
91824572070
10743828652
11351965526
12189134490
13bb1467c8
1470b06820
154547da1c
hex2c55ecac

743828652 has 72 divisors (see below), whose sum is σ = 2155974912. Its totient is φ = 211816800.

The previous prime is 743828647. The next prime is 743828699. The reversal of 743828652 is 256828347.

It is a super-2 number, since 2×7438286522 = 1106562127072274208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 743828598 and 743828607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73627 + ... + 83117.

It is an arithmetic number, because the mean of its divisors is an integer number (29944096).

Almost surely, 2743828652 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 743828652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077987456).

743828652 is an abundant number, since it is smaller than the sum of its proper divisors (1412146260).

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

743828652 is a wasteful number, since it uses less digits than its factorization.

743828652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9819 (or 9814 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 743828652 is about 27273.2222518719. Note that the first 4 decimals coincide. The cubic root of 743828652 is about 906.0614112723.

The spelling of 743828652 in words is "seven hundred forty-three million, eight hundred twenty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 311 622 933 1244 1866 2177 2799 3732 4354 5598 6531 8708 9491 11196 13062 18982 19593 26124 28473 37964 39186 56946 66437 78372 85419 113892 132874 170838 199311 265748 341676 398622 597933 797244 1195866 2391732 2951701 5903402 8855103 11806804 17710206 20661907 26565309 35420412 41323814 53130618 61985721 82647628 106261236 123971442 185957163 247942884 371914326 743828652