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42793465 = 5112135441
BaseRepresentation
bin1010001100111…
…1100111111001
32222112010121011
42203033213321
541423342330
64125113521
71026511201
oct243174771
988463534
1042793465
1122179400
12123b88a1
138b341a0
14597d401
153b5482a
hex28cf9f9

42793465 has 24 divisors (see below), whose sum is σ = 60798024. Its totient is φ = 28723200.

The previous prime is 42793441. The next prime is 42793469. The reversal of 42793465 is 56439724.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 40284409 = 1584^2 + 6347^2 .

It is not a de Polignac number, because 42793465 - 25 = 42793433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42793469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5145 + ... + 10585.

It is an arithmetic number, because the mean of its divisors is an integer number (2533251).

Almost surely, 242793465 is an apocalyptic number.

It is an amenable number.

42793465 is a deficient number, since it is larger than the sum of its proper divisors (18004559).

42793465 is a wasteful number, since it uses less digits than its factorization.

42793465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5470 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 42793465 is about 6541.6714225036. The cubic root of 42793465 is about 349.7779952668. Note that the first 3 decimals are identical.

It can be divided in two parts, 4279 and 3465, that multiplied together give a triangular number (14826735 = T5445).

The spelling of 42793465 in words is "forty-two million, seven hundred ninety-three thousand, four hundred sixty-five".

Divisors: 1 5 11 13 55 65 121 143 605 715 1573 5441 7865 27205 59851 70733 299255 353665 658361 778063 3291805 3890315 8558693 42793465