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1045273644 = 2232711014049
BaseRepresentation
bin111110010011011…
…001110000101100
32200211212101212200
4332103121300230
54120042224034
6251415501500
734621452012
oct7623316054
92624771780
101045273644
11497036618
12252087890
1313872c21c
149cb748b2
1561b75a99
hex3e4d9c2c

1045273644 has 72 divisors (see below), whose sum is σ = 2706631200. Its totient is φ = 340032000.

The previous prime is 1045273609. The next prime is 1045273673. The reversal of 1045273644 is 4463725401.

1045273644 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 2 + 7 + 3 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1045273599 and 1045273608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256132 + ... + 260180.

It is an arithmetic number, because the mean of its divisors is an integer number (37592100).

Almost surely, 21045273644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045273644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353315600).

1045273644 is an abundant number, since it is smaller than the sum of its proper divisors (1661357556).

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

1045273644 is a wasteful number, since it uses less digits than its factorization.

1045273644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1045273644 is about 32330.6919814594. The cubic root of 1045273644 is about 1014.8690308012.

The spelling of 1045273644 in words is "one billion, forty-five million, two hundred seventy-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 101 142 202 213 284 303 404 426 606 639 852 909 1212 1278 1818 2556 3636 4049 7171 8098 12147 14342 16196 21513 24294 28684 36441 43026 48588 64539 72882 86052 129078 145764 258156 287479 408949 574958 817898 862437 1149916 1226847 1635796 1724874 2453694 2587311 3449748 3680541 4907388 5174622 7361082 10349244 14722164 29035379 58070758 87106137 116141516 174212274 261318411 348424548 522636822 1045273644