Search a number
-
+
1045572024 = 233742114783
BaseRepresentation
bin111110010100100…
…010100110111000
32200212102120011210
4332110202212320
54120131301044
6251430123120
734624133640
oct7624424670
92625376153
101045572024
1149721a812
122521b04a0
13138804c93
149cc11520
1561bd41b9
hex3e5229b8

1045572024 has 64 divisors (see below), whose sum is σ = 2994647040. Its totient is φ = 298005120.

The previous prime is 1045572023. The next prime is 1045572041. The reversal of 1045572024 is 4202755401.

1045572024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1045571982 and 1045572000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045572023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63337 + ... + 78119.

It is an arithmetic number, because the mean of its divisors is an integer number (46791360).

Almost surely, 21045572024 is an apocalyptic number.

1045572024 is a gapful number since it is divisible by the number (14) 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 1045572024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497323520).

1045572024 is an abundant number, since it is smaller than the sum of its proper divisors (1949075016).

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

1045572024 is a wasteful number, since it uses less digits than its factorization.

1045572024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15220 (or 15216 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 1045572024 is about 32335.3061528726. The cubic root of 1045572024 is about 1014.9655885508.

The spelling of 1045572024 in words is "one billion, forty-five million, five hundred seventy-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 421 842 1263 1684 2526 2947 3368 5052 5894 8841 10104 11788 14783 17682 23576 29566 35364 44349 59132 70728 88698 103481 118264 177396 206962 310443 354792 413924 620886 827848 1241772 2483544 6223643 12447286 18670929 24894572 37341858 43565501 49789144 74683716 87131002 130696503 149367432 174262004 261393006 348524008 522786012 1045572024