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1035897044 = 2274138297
BaseRepresentation
bin111101101111101…
…000100011010100
32200012020000121012
4331233220203110
54110142201134
6250442511352
734445660000
oct7557504324
92605200535
101035897044
11491811866
1224ab05558
131367c8340
149b813700
1560e226ce
hex3dbe88d4

1035897044 has 60 divisors (see below), whose sum is σ = 2277784404. Its totient is φ = 409756032.

The previous prime is 1035897019. The next prime is 1035897073. The reversal of 1035897044 is 4407985301.

It can be written as a sum of positive squares in 2 ways, for example, as 674440900 + 361456144 = 25970^2 + 19012^2 .

It is a super-3 number, since 3×10358970443 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1035896992 and 1035897010.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 120704 + ... + 129000.

Almost surely, 21035897044 is an apocalyptic number.

1035897044 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 1035897044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138892202).

1035897044 is an abundant number, since it is smaller than the sum of its proper divisors (1241887360).

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

1035897044 is an equidigital number, since it uses as much as digits as its factorization.

1035897044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 1035897044 is about 32185.3544954844. The cubic root of 1035897044 is about 1011.8252925821.

The spelling of 1035897044 in words is "one billion, thirty-five million, eight hundred ninety-seven thousand, forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2401 2548 4459 4802 8297 8918 9604 16594 17836 31213 33188 58079 62426 107861 116158 124852 215722 232316 406553 431444 755027 813106 1510054 1626212 2845871 3020108 5285189 5691742 10570378 11383484 19921097 21140756 36996323 39842194 73992646 79684388 147985292 258974261 517948522 1035897044