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1045856441 = 7227537753
BaseRepresentation
bin111110010101101…
…000000010111001
32200212222000022202
4332111220002321
54120214401231
6251440155545
734626430100
oct7625500271
92625860282
101045856441
114973a4473
12252308bb5
131388a4586
149cc87037
1561c3d5cb
hex3e5680b9

1045856441 has 12 divisors (see below), whose sum is σ = 1217207412. Its totient is φ = 896007168.

The previous prime is 1045856423. The next prime is 1045856443. The reversal of 1045856441 is 1446585401.

1045856441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1016653225 + 29203216 = 31885^2 + 5404^2 .

It is a de Polignac number, because none of the positive numbers 2k-1045856441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1045856395 and 1045856404.

It is not an unprimeable number, because it can be changed into a prime (1045856443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131021 + ... + 138773.

It is an arithmetic number, because the mean of its divisors is an integer number (101433951).

Almost surely, 21045856441 is an apocalyptic number.

It is an amenable number.

1045856441 is a deficient number, since it is larger than the sum of its proper divisors (171350971).

1045856441 is an equidigital number, since it uses as much as digits as its factorization.

1045856441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 1045856441 is about 32339.7037865222. The cubic root of 1045856441 is about 1015.0576106816.

The spelling of 1045856441 in words is "one billion, forty-five million, eight hundred fifty-six thousand, four hundred forty-one".

Divisors: 1 7 49 2753 7753 19271 54271 134897 379897 21344009 149408063 1045856441