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42986460 = 223511231191
BaseRepresentation
bin1010001111111…
…0101111011100
32222212221100010
42203332233130
542001031320
64133203220
71031243646
oct243765734
988787303
1042986460
11222a0400
1212490510
138ba0c9a
1459cd896
153b91ae0
hex28febdc

42986460 has 144 divisors (see below), whose sum is σ = 137281536. Its totient is φ = 10032000.

The previous prime is 42986431. The next prime is 42986483. The reversal of 42986460 is 6468924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224965 + ... + 225155.

It is an arithmetic number, because the mean of its divisors is an integer number (953344).

Almost surely, 242986460 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 42986460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640768).

42986460 is an abundant number, since it is smaller than the sum of its proper divisors (94295076).

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

42986460 is a wasteful number, since it uses less digits than its factorization.

42986460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 42986460 is about 6556.4060276954. The cubic root of 42986460 is about 350.3030300778.

It can be divided in two parts, 429864 and 60, that added together give a palindrome (429924).

The spelling of 42986460 in words is "forty-two million, nine hundred eighty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 191 220 242 310 330 341 363 372 382 465 484 573 605 620 660 682 726 764 930 955 1023 1146 1210 1364 1452 1705 1815 1860 1910 2046 2101 2292 2420 2865 3410 3630 3751 3820 4092 4202 5115 5730 5921 6303 6820 7260 7502 8404 10230 10505 11253 11460 11842 12606 15004 17763 18755 20460 21010 22506 23111 23684 25212 29605 31515 35526 37510 42020 45012 46222 56265 59210 63030 65131 69333 71052 75020 88815 92444 112530 115555 118420 126060 130262 138666 177630 195393 225060 231110 260524 277332 325655 346665 355260 390786 462220 651310 693330 716441 781572 976965 1302620 1386660 1432882 1953930 2149323 2865764 3582205 3907860 4298646 7164410 8597292 10746615 14328820 21493230 42986460