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42765261 = 3711185131
BaseRepresentation
bin1010001100100…
…0101111001101
32222110200220120
42203020233031
541421442021
64124335153
71026333030
oct243105715
988420816
1042765261
112215a1a0
12123a44b9
138b243b6
145973017
153b4b2c6
hex28c8bcd

42765261 has 16 divisors (see below), whose sum is σ = 71090688. Its totient is φ = 22215600.

The previous prime is 42765259. The next prime is 42765277. The reversal of 42765261 is 16256724.

42765261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42765261 - 21 = 42765259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42765221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92335 + ... + 92796.

It is an arithmetic number, because the mean of its divisors is an integer number (4443168).

Almost surely, 242765261 is an apocalyptic number.

It is an amenable number.

42765261 is a deficient number, since it is larger than the sum of its proper divisors (28325427).

42765261 is a wasteful number, since it uses less digits than its factorization.

42765261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185152.

The product of its digits is 20160, while the sum is 33.

The square root of 42765261 is about 6539.5153490148. The cubic root of 42765261 is about 349.7011353486.

The spelling of 42765261 in words is "forty-two million, seven hundred sixty-five thousand, two hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 231 185131 555393 1295917 2036441 3887751 6109323 14255087 42765261