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42966135 = 3259371019
BaseRepresentation
bin1010001111100…
…1110001110111
32222211220110100
42203321301313
541444404020
64132525143
71031130462
oct243716167
988756410
1042966135
1122287103
12124807b3
138b94964
1459c62d9
153b8aa90
hex28f9c77

42966135 has 24 divisors (see below), whose sum is σ = 74627280. Its totient is φ = 22868352.

The previous prime is 42966113. The next prime is 42966137. The reversal of 42966135 is 53166924.

It is a happy number.

It is not a de Polignac number, because 42966135 - 212 = 42962039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42966135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42966137) 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, 41656 + ... + 42674.

It is an arithmetic number, because the mean of its divisors is an integer number (3109470).

Almost surely, 242966135 is an apocalyptic number.

42966135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42966135 is a deficient number, since it is larger than the sum of its proper divisors (31661145).

42966135 is a wasteful number, since it uses less digits than its factorization.

42966135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1964 counting only the distinct ones).

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

The square root of 42966135 is about 6554.8558336549. The cubic root of 42966135 is about 350.2478108953.

It can be divided in two parts, 429 and 66135, that added together give a square (66564 = 2582).

The spelling of 42966135 in words is "forty-two million, nine hundred sixty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 937 1019 2811 3057 4685 5095 8433 9171 14055 15285 42165 45855 954803 2864409 4774015 8593227 14322045 42966135