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893826945 = 325113721319
BaseRepresentation
bin110101010001101…
…011011110000001
32022021220010001200
4311101223132001
53312304430240
6224405451413
731102255314
oct6521533601
92267803050
10893826945
114195a6460
1220b410b69
131132449ab
14869d097b
155370c930
hex3546b781

893826945 has 72 divisors (see below), whose sum is σ = 1738376640. Its totient is φ = 421338240.

The previous prime is 893826887. The next prime is 893826953. The reversal of 893826945 is 549628398.

893826945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 893826945 - 29 = 893826433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 893826891 and 893826900.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 676996 + ... + 678314.

It is an arithmetic number, because the mean of its divisors is an integer number (24144120).

Almost surely, 2893826945 is an apocalyptic number.

It is an amenable number.

893826945 is a deficient number, since it is larger than the sum of its proper divisors (844549695).

893826945 is a wasteful number, since it uses less digits than its factorization.

893826945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1375 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 893826945 is about 29896.9387228860. The cubic root of 893826945 is about 963.2769039661.

The spelling of 893826945 in words is "eight hundred ninety-three million, eight hundred twenty-six thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 495 555 1221 1319 1369 1665 2035 3663 3957 4107 6105 6595 6845 11871 12321 14509 15059 18315 19785 20535 43527 45177 48803 59355 61605 72545 75295 130581 135531 146409 217635 225885 244015 439227 536833 652905 677655 732045 1610499 1805711 2196135 2684165 4831497 5417133 8052495 9028555 16251399 19862821 24157485 27085665 59588463 81256995 99314105 178765389 297942315 893826945