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42000693 = 37717
BaseRepresentation
bin1010000000111…
…0000100110101
32221000212010020
42200032010311
541223010233
64100115353
71020000000
oct240160465
987025106
1042000693
1121787819
1212095b59
1389173a7
145814537
153a499b3
hex280e135

42000693 has 32 divisors (see below), whose sum is σ = 69177600. Its totient is φ = 22588608.

The previous prime is 42000683. The next prime is 42000701. The reversal of 42000693 is 39600024.

It is not a de Polignac number, because 42000693 - 222 = 37806389 is a prime.

42000693 is a modest number, since divided by 693 gives 42 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2470621 + ... + 2470637.

It is an arithmetic number, because the mean of its divisors is an integer number (2161800).

Almost surely, 242000693 is an apocalyptic number.

It is an amenable number.

42000693 is a deficient number, since it is larger than the sum of its proper divisors (27176907).

42000693 is an frugal number, since it uses more digits than its factorization.

42000693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 42000693 is about 6480.7941642981. The cubic root of 42000693 is about 347.6045762928.

The spelling of 42000693 in words is "forty-two million, six hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 7 17 21 49 51 119 147 343 357 833 1029 2401 2499 5831 7203 16807 17493 40817 50421 117649 122451 285719 352947 823543 857157 2000033 2470629 6000099 14000231 42000693