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42916635 = 345105967
BaseRepresentation
bin1010001110110…
…1101100011011
32222202101120000
42203231230123
541441313020
64131504043
71030533246
oct243555433
988671500
1042916635
11222529a3
1212458023
138b78278
1459b225d
153b7b090
hex28edb1b

42916635 has 20 divisors (see below), whose sum is σ = 76932768. Its totient is φ = 22888656.

The previous prime is 42916631. The next prime is 42916637. The reversal of 42916635 is 53661924.

It is a happy number.

42916635 is a `hidden beast` number, since 4 + 2 + 9 + 16 + 635 = 666.

It is not a de Polignac number, because 42916635 - 22 = 42916631 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42916635.

It is not an unprimeable number, because it can be changed into a prime (42916631) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52579 + ... + 53388.

Almost surely, 242916635 is an apocalyptic number.

42916635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42916635 is a deficient number, since it is larger than the sum of its proper divisors (34016133).

42916635 is a wasteful number, since it uses less digits than its factorization.

42916635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105984 (or 105975 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 42916635 is about 6551.0789187736. The cubic root of 42916635 is about 350.1132558648.

It can be divided in two parts, 429166 and 35, that added together give a triangular number (429201 = T926).

The spelling of 42916635 in words is "forty-two million, nine hundred sixteen thousand, six hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 105967 317901 529835 953703 1589505 2861109 4768515 8583327 14305545 42916635