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1045756053 = 321494331801
BaseRepresentation
bin111110010101001…
…111100010010101
32200212202220121200
4332111033202111
54120203143203
6251434103113
734625531316
oct7625174225
92625686550
101045756053
11497336001
1225227aa99
1313886a984
149cc5c60d
1561c1d9a3
hex3e54f895

1045756053 has 24 divisors (see below), whose sum is σ = 1525032600. Its totient is φ = 690508800.

The previous prime is 1045756051. The next prime is 1045756057. The reversal of 1045756053 is 3506575401.

1045756053 is a `hidden beast` number, since 1 + 0 + 45 + 7 + 5 + 605 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66879684 + 978876369 = 8178^2 + 31287^2 .

It is not a de Polignac number, because 1045756053 - 21 = 1045756051 is a prime.

It is a super-2 number, since 2×10457560532 = 2187211444772277618, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1045755999 and 1045756017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045756051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579753 + ... + 581553.

It is an arithmetic number, because the mean of its divisors is an integer number (63543025).

Almost surely, 21045756053 is an apocalyptic number.

It is an amenable number.

1045756053 is a deficient number, since it is larger than the sum of its proper divisors (479276547).

1045756053 is a wasteful number, since it uses less digits than its factorization.

1045756053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1045756053 is about 32338.1516633218. The cubic root of 1045756053 is about 1015.0251323988.

The spelling of 1045756053 in words is "one billion, forty-five million, seven hundred fifty-six thousand, fifty-three".

Divisors: 1 3 9 149 433 447 1299 1341 1801 3897 5403 16209 64517 193551 268349 580653 779833 805047 2339499 2415141 7018497 116195117 348585351 1045756053