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42985605 = 35131712967
BaseRepresentation
bin1010001111111…
…0100010000101
32222212220011110
42203332202011
542001014410
64133155233
71031241315
oct243764205
988786143
1042985605
112229a7a3
121248bb19
138ba0790
1459cd445
153b91720
hex28fe885

42985605 has 32 divisors (see below), whose sum is σ = 78430464. Its totient is φ = 19915776.

The previous prime is 42985603. The next prime is 42985637. The reversal of 42985605 is 50658924.

42985605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42985605 - 21 = 42985603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42985603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3169 + ... + 9798.

It is an arithmetic number, because the mean of its divisors is an integer number (2450952).

Almost surely, 242985605 is an apocalyptic number.

It is an amenable number.

42985605 is a deficient number, since it is larger than the sum of its proper divisors (35444859).

42985605 is a wasteful number, since it uses less digits than its factorization.

42985605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 42985605 is about 6556.3408239658. The cubic root of 42985605 is about 350.3007075552.

The spelling of 42985605 in words is "forty-two million, nine hundred eighty-five thousand, six hundred five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 12967 38901 64835 168571 194505 220439 505713 661317 842855 1102195 2528565 2865707 3306585 8597121 14328535 42985605