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42795540 = 2234526417
BaseRepresentation
bin1010001101000…
…0001000010100
32222112020110000
42203100020110
541423424130
64125131300
71026520224
oct243201024
988466400
1042795540
112217aa17
12123b9b30
138b35108
145980084
153b55260
hex28d0214

42795540 has 60 divisors (see below), whose sum is σ = 134256276. Its totient is φ = 11411712.

The previous prime is 42795523. The next prime is 42795541. The reversal of 42795540 is 4559724.

42795540 is a `hidden beast` number, since 4 + 27 + 95 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10850436 + 31945104 = 3294^2 + 5652^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42795495 and 42795504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42795541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11589 + ... + 14828.

Almost surely, 242795540 is an apocalyptic number.

It is an amenable number.

42795540 is an abundant number, since it is smaller than the sum of its proper divisors (91460736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42795540 is a wasteful number, since it uses less digits than its factorization.

42795540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26438 (or 26427 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 42795540 is about 6541.8300191919. The cubic root of 42795540 is about 349.7836486035.

The spelling of 42795540 in words is "forty-two million, seven hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 26417 52834 79251 105668 132085 158502 237753 264170 317004 396255 475506 528340 713259 792510 951012 1188765 1426518 1585020 2139777 2377530 2853036 3566295 4279554 4755060 7132590 8559108 10698885 14265180 21397770 42795540