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42786541 = 73137732
BaseRepresentation
bin1010001100110…
…1111011101101
32222111210002201
42203031323231
541423132131
64125021501
71026452050
oct243157355
988453081
1042786541
1122174186
12123b4891
138b30ca5
14597aa97
153b52761
hex28cdeed

42786541 has 24 divisors (see below), whose sum is σ = 52560384. Its totient is φ = 34058880.

The previous prime is 42786539. The next prime is 42786547. The reversal of 42786541 is 14568724.

It is not a de Polignac number, because 42786541 - 21 = 42786539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42786541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42786547) 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, 586081 + ... + 586153.

It is an arithmetic number, because the mean of its divisors is an integer number (2190016).

Almost surely, 242786541 is an apocalyptic number.

It is an amenable number.

42786541 is a deficient number, since it is larger than the sum of its proper divisors (9773843).

42786541 is an equidigital number, since it uses as much as digits as its factorization.

42786541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 148 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 42786541 is about 6541.1421785496. The cubic root of 42786541 is about 349.7591295087.

It can be divided in two parts, 427 and 86541, that added together give a palindrome (86968).

The spelling of 42786541 in words is "forty-two million, seven hundred eighty-six thousand, five hundred forty-one".

Divisors: 1 7 31 37 73 217 259 511 1147 2263 2701 5329 8029 15841 18907 37303 83731 165199 197173 586117 1156393 1380211 6112363 42786541