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42064029 = 3678243
BaseRepresentation
bin1010000001110…
…1100010011101
32221011002000000
42200131202131
541232022104
64101324513
71020352440
oct240354235
987132000
1042064029
1121820367
1212106739
13893a177
14582d657
153a5d639
hex281d89d

42064029 has 28 divisors (see below), whose sum is σ = 72085536. Its totient is φ = 24033672.

The previous prime is 42063979. The next prime is 42064037. The reversal of 42064029 is 92046024.

It is not a de Polignac number, because 42064029 - 213 = 42055837 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42063993 and 42064011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42064039) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 982 + ... + 9224.

Almost surely, 242064029 is an apocalyptic number.

It is an amenable number.

42064029 is a deficient number, since it is larger than the sum of its proper divisors (30021507).

42064029 is an frugal number, since it uses more digits than its factorization.

42064029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42064029 is about 6485.6787617026. The cubic root of 42064029 is about 347.7792148893.

The spelling of 42064029 in words is "forty-two million, sixty-four thousand, twenty-nine".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 5103 8243 24729 57701 74187 173103 222561 519309 667683 1557927 2003049 4673781 6009147 14021343 42064029