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42212097 = 34521137
BaseRepresentation
bin1010000100000…
…1101100000001
32221102121010000
42201001230001
541301241342
64104430213
71021540224
oct241015401
987377100
1042212097
1121911634
1212178369
13898c695
14586b5bb
153a8c44c
hex2841b01

42212097 has 10 divisors (see below), whose sum is σ = 63057698. Its totient is φ = 28141344.

The previous prime is 42212047. The next prime is 42212113. The reversal of 42212097 is 79021224.

It can be written as a sum of positive squares in only one way, i.e., 42107121 + 104976 = 6489^2 + 324^2 .

It is not a de Polignac number, because 42212097 - 26 = 42212033 is a prime.

It is a super-2 number, since 2×422120972 = 3563722266274818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 42212097.

It is not an unprimeable number, because it can be changed into a prime (42212017) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 260488 + ... + 260649.

Almost surely, 242212097 is an apocalyptic number.

It is an amenable number.

42212097 is a deficient number, since it is larger than the sum of its proper divisors (20845601).

42212097 is an equidigital number, since it uses as much as digits as its factorization.

42212097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521149 (or 521140 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42212097 is about 6497.0837304132. The cubic root of 42212097 is about 348.1868051754.

The spelling of 42212097 in words is "forty-two million, two hundred twelve thousand, ninety-seven".

Divisors: 1 3 9 27 81 521137 1563411 4690233 14070699 42212097