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42088765 = 527730389
BaseRepresentation
bin1010000010001…
…1100100111101
32221012022221011
42200203210331
541233320030
64102035221
71020514525
oct240434475
987168834
1042088765
1121837a04
1212118b11
1389484c4
145838685
153a65b2a
hex282393d

42088765 has 8 divisors (see below), whose sum is σ = 50690520. Its totient is φ = 33548352.

The previous prime is 42088763. The next prime is 42088769. The reversal of 42088765 is 56788024.

It can be written as a sum of positive squares in 4 ways, for example, as 2474329 + 39614436 = 1573^2 + 6294^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42088765 - 21 = 42088763 is a prime.

It is a super-3 number, since 3×420887653 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42088763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13810 + ... + 16579.

It is an arithmetic number, because the mean of its divisors is an integer number (6336315).

Almost surely, 242088765 is an apocalyptic number.

It is an amenable number.

42088765 is a deficient number, since it is larger than the sum of its proper divisors (8601755).

42088765 is a wasteful number, since it uses less digits than its factorization.

42088765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30671.

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 42088765 is about 6487.5854522311. The cubic root of 42088765 is about 347.8473727361.

The spelling of 42088765 in words is "forty-two million, eighty-eight thousand, seven hundred sixty-five".

Divisors: 1 5 277 1385 30389 151945 8417753 42088765