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42964065 = 325954757
BaseRepresentation
bin1010001111100…
…1010001100001
32222211210121200
42203321101201
541444322230
64132511413
71031121444
oct243712141
988753550
1042964065
11222855a1
121247b569
138b93a31
1459c565b
153b8a160
hex28f9461

42964065 has 12 divisors (see below), whose sum is σ = 74471124. Its totient is φ = 22914144.

The previous prime is 42964039. The next prime is 42964093. The reversal of 42964065 is 56046924.

42964065 is a `hidden beast` number, since 4 + 2 + 9 + 640 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 31102929 = 3444^2 + 5577^2 .

It is not a de Polignac number, because 42964065 - 27 = 42963937 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477334 + ... + 477423.

It is an arithmetic number, because the mean of its divisors is an integer number (6205927).

Almost surely, 242964065 is an apocalyptic number.

42964065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42964065 is a deficient number, since it is larger than the sum of its proper divisors (31507059).

42964065 is a wasteful number, since it uses less digits than its factorization.

42964065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954768 (or 954765 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 42964065 is about 6554.6979335435. The cubic root of 42964065 is about 350.2421861197.

The spelling of 42964065 in words is "forty-two million, nine hundred sixty-four thousand, sixty-five".

Divisors: 1 3 5 9 15 45 954757 2864271 4773785 8592813 14321355 42964065