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1044914292 = 223253210333
BaseRepresentation
bin111110010010000…
…010000001110100
32200211012010221100
4332102002001310
54114444224132
6251404050100
734615424232
oct7622020164
92624163840
101044914292
11496910634
12251b33930
131386347a6
149cabd952
1561b0437c
hex3e482074

1044914292 has 54 divisors (see below), whose sum is σ = 2692348022. Its totient is φ = 341699904.

The previous prime is 1044914287. The next prime is 1044914309. The reversal of 1044914292 is 2924194401.

It can be written as a sum of positive squares in 3 ways, for example, as 480661776 + 564252516 = 21924^2 + 23754^2 .

It is a super-2 number, since 2×10449142922 = 2183691755251722528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95958 + ... + 106290.

Almost surely, 21044914292 is an apocalyptic number.

1044914292 is a gapful number since it is divisible by the number (12) 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 1044914292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346174011).

1044914292 is an abundant number, since it is smaller than the sum of its proper divisors (1647433730).

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

1044914292 is a wasteful number, since it uses less digits than its factorization.

1044914292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10449 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1044914292 is about 32325.1340600468. The cubic root of 1044914292 is about 1014.7527177131.

The spelling of 1044914292 in words is "one billion, forty-four million, nine hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2809 5618 8427 10333 11236 16854 20666 25281 30999 33708 41332 50562 61998 92997 101124 123996 185994 371988 547649 1095298 1642947 2190596 3285894 4928841 6571788 9857682 19715364 29025397 58050794 87076191 116101588 174152382 261228573 348304764 522457146 1044914292