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42597764 = 22115961269
BaseRepresentation
bin1010001001111…
…1110110000100
32222011012010222
42202133312010
541401112024
64121003512
71025034506
oct242376604
988135128
1042597764
1122055370
1212323598
138a960a1
14592bd76
153b1685e
hex289fd84

42597764 has 48 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 18652800.

The previous prime is 42597761. The next prime is 42597773. The reversal of 42597764 is 46779524.

42597764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42597761) 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, 158222 + ... + 158490.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 242597764 is an apocalyptic number.

42597764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42597764 is a deficient number, since it is larger than the sum of its proper divisors (41771836).

42597764 is a wasteful number, since it uses less digits than its factorization.

42597764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 42597764 is about 6526.6962546146. The cubic root of 42597764 is about 349.2439844753.

It can be divided in two parts, 425 and 97764, that added together give a palindrome (98189).

The spelling of 42597764 in words is "forty-two million, five hundred ninety-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 22 44 59 61 118 122 236 244 269 538 649 671 1076 1298 1342 2596 2684 2959 3599 5918 7198 11836 14396 15871 16409 31742 32818 39589 63484 65636 79178 158356 174581 180499 349162 360998 698324 721996 968131 1936262 3872524 10649441 21298882 42597764