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42479478 = 2341937373
BaseRepresentation
bin1010001000001…
…0111101110110
32221221011220000
42202002331312
541333320403
64114252130
71024032606
oct242027566
987834800
1042479478
1121a84508
1212287046
138a542b2
1458dac06
153ae17a3
hex2882f76

42479478 has 80 divisors (see below), whose sum is σ = 103179120. Its totient is φ = 13017024.

The previous prime is 42479467. The next prime is 42479509. The reversal of 42479478 is 87497424.

42479478 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 113700 + ... + 114072.

It is an arithmetic number, because the mean of its divisors is an integer number (1289739).

Almost surely, 242479478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42479478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51589560).

42479478 is an abundant number, since it is smaller than the sum of its proper divisors (60699642).

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

42479478 is a wasteful number, since it uses less digits than its factorization.

42479478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 42479478 is about 6517.6282496012. The cubic root of 42479478 is about 348.9204231230.

The spelling of 42479478 in words is "forty-two million, four hundred seventy-nine thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 333 342 373 513 666 703 746 999 1026 1119 1406 1539 1998 2109 2238 2997 3078 3357 4218 5994 6327 6714 7087 10071 12654 13801 14174 18981 20142 21261 27602 30213 37962 41403 42522 56943 60426 63783 82806 113886 124209 127566 191349 248418 262219 372627 382698 524438 574047 745254 786657 1117881 1148094 1573314 2235762 2359971 4719942 7079913 14159826 21239739 42479478