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42813441 = 361119281
BaseRepresentation
bin1010001101010…
…0100000000001
32222120011000000
42203110200001
541430012231
64125350213
71026623346
oct243244001
988504000
1042813441
1122192410
1212408369
138b402c8
1459867cd
153b5a6e6
hex28d4801

42813441 has 56 divisors (see below), whose sum is σ = 73974240. Its totient is φ = 24494400.

The previous prime is 42813431. The next prime is 42813443. The reversal of 42813441 is 14431824.

It is not a de Polignac number, because 42813441 - 211 = 42811393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42813443) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 152221 + ... + 152501.

Almost surely, 242813441 is an apocalyptic number.

It is an amenable number.

42813441 is a deficient number, since it is larger than the sum of its proper divisors (31160799).

42813441 is a wasteful number, since it uses less digits than its factorization.

42813441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 42813441 is about 6543.1980712798. The cubic root of 42813441 is about 349.8324122851.

The spelling of 42813441 in words is "forty-two million, eight hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 243 281 297 513 627 729 843 891 1539 1881 2529 2673 3091 4617 5339 5643 7587 8019 9273 13851 16017 16929 22761 27819 48051 50787 58729 68283 83457 144153 152361 176187 204849 250371 432459 528561 751113 1297377 1585683 2253339 3892131 4757049 14271147 42813441