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42986496 = 210371999
BaseRepresentation
bin1010001111111…
…0110000000000
32222212221101110
42203332300000
542001031441
64133203320
71031244030
oct243766000
988787343
1042986496
11222a0433
1212490540
138ba0cc7
1459cd8c0
153b91b16
hex28fec00

42986496 has 88 divisors (see below), whose sum is σ = 131008000. Its totient is φ = 12275712.

The previous prime is 42986483. The next prime is 42986513. The reversal of 42986496 is 69468924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20505 + ... + 22503.

Almost surely, 242986496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65504000).

42986496 is an abundant number, since it is smaller than the sum of its proper divisors (88021504).

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

42986496 is a wasteful number, since it uses less digits than its factorization.

42986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2011 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 42986496 is about 6556.4087731013. The cubic root of 42986496 is about 350.3031278675.

The spelling of 42986496 in words is "forty-two million, nine hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1999 2688 3072 3584 3998 5376 5997 7168 7996 10752 11994 13993 15992 21504 23988 27986 31984 41979 47976 55972 63968 83958 95952 111944 127936 167916 191904 223888 255872 335832 383808 447776 511744 671664 767616 895552 1023488 1343328 1535232 1791104 2046976 2686656 3070464 3582208 5373312 6140928 7164416 10746624 14328832 21493248 42986496