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42791076 = 22325692089
BaseRepresentation
bin1010001100111…
…1000010100100
32222112000022200
42203033002210
541423303301
64125054500
71026501216
oct243170244
988460280
1042791076
1122177629
12123b7430
138b33083
14597c5b6
153b53c86
hex28cf0a4

42791076 has 36 divisors (see below), whose sum is σ = 108408300. Its totient is φ = 14231808.

The previous prime is 42791039. The next prime is 42791081. The reversal of 42791076 is 67019724.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22810176 + 19980900 = 4776^2 + 4470^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42791076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19440 + ... + 21528.

Almost surely, 242791076 is an apocalyptic number.

It is an amenable number.

42791076 is an abundant number, since it is smaller than the sum of its proper divisors (65617224).

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

42791076 is a wasteful number, since it uses less digits than its factorization.

42791076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 42791076 is about 6541.4888213617. The cubic root of 42791076 is about 349.7714862108.

The spelling of 42791076 in words is "forty-two million, seven hundred ninety-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 569 1138 1707 2089 2276 3414 4178 5121 6267 6828 8356 10242 12534 18801 20484 25068 37602 75204 1188641 2377282 3565923 4754564 7131846 10697769 14263692 21395538 42791076