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2045435444 = 2213172419601
BaseRepresentation
bin111100111101010…
…1101111000110100
312021112211212221022
41321322231320310
513142112413234
6534544440312
7101454625433
oct17172557064
95245755838
102045435444
1195a65aa18
12491019098
132679c4c40
1415592511a
15be889e2e
hex79eade34

2045435444 has 48 divisors (see below), whose sum is σ = 4098978576. Its totient is φ = 884736000.

The previous prime is 2045435419. The next prime is 2045435473. The reversal of 2045435444 is 4445345402.

It can be written as a sum of positive squares in 8 ways, for example, as 106090000 + 1939345444 = 10300^2 + 44038^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208244 + ... + 217844.

It is an arithmetic number, because the mean of its divisors is an integer number (85395387).

Almost surely, 22045435444 is an apocalyptic number.

It is an amenable number.

2045435444 is an abundant number, since it is smaller than the sum of its proper divisors (2053543132).

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

2045435444 is a wasteful number, since it uses less digits than its factorization.

2045435444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9876 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The square root of 2045435444 is about 45226.4905116459. The cubic root of 2045435444 is about 1269.3905447861.

The spelling of 2045435444 in words is "two billion, forty-five million, four hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 4 13 17 26 34 52 68 221 241 442 482 884 964 3133 4097 6266 8194 9601 12532 16388 19202 38404 53261 106522 124813 163217 213044 249626 326434 499252 652868 2121821 2313841 4243642 4627682 8487284 9255364 30079933 39335297 60159866 78670594 120319732 157341188 511358861 1022717722 2045435444