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1125463050 = 2325211322133
BaseRepresentation
bin100001100010101…
…0011010000001010
32220102202110001200
41003011103100022
54301104304200
6303402325030
736614164245
oct10305232012
92812673050
101125463050
11528327058
12274ab9776
1314c22788a
14a968a25c
1568c15800
hex4315340a

1125463050 has 72 divisors (see below), whose sum is σ = 3050640684. Its totient is φ = 297454080.

The previous prime is 1125463039. The next prime is 1125463057. The reversal of 1125463050 is 503645211.

1125463050 is a `hidden beast` number, since 1 + 1 + 25 + 4 + 630 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 104468841 + 1020994209 = 10221^2 + 31953^2 .

It is not an unprimeable number, because it can be changed into a prime (1125463057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39784 + ... + 61916.

Almost surely, 21125463050 is an apocalyptic number.

1125463050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125463050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525320342).

1125463050 is an abundant number, since it is smaller than the sum of its proper divisors (1925177634).

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

1125463050 is a wasteful number, since it uses less digits than its factorization.

1125463050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22264 (or 22256 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1125463050 is about 33547.9216941974. The cubic root of 1125463050 is about 1040.1845857031.

The spelling of 1125463050 in words is "one billion, one hundred twenty-five million, four hundred sixty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 113 150 225 226 339 450 565 678 1017 1130 1695 2034 2825 3390 5085 5650 8475 10170 16950 22133 25425 44266 50850 66399 110665 132798 199197 221330 331995 398394 553325 663990 995985 1106650 1659975 1991970 2501029 3319950 4979925 5002058 7503087 9959850 12505145 15006174 22509261 25010290 37515435 45018522 62525725 75030870 112546305 125051450 187577175 225092610 375154350 562731525 1125463050