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42986340 = 223251311823
BaseRepresentation
bin1010001111111…
…0101101100100
32222212221011200
42203332231210
542001030330
64133202500
71031243415
oct243765544
988787150
1042986340
11222a0301
1212490430
138ba0c07
1459cd80c
153b91a60
hex28feb64

42986340 has 72 divisors (see below), whose sum is σ = 131459328. Its totient is φ = 11369280.

The previous prime is 42986297. The next prime is 42986357. The reversal of 42986340 is 4368924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42986295 and 42986304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22669 + ... + 24491.

It is an arithmetic number, because the mean of its divisors is an integer number (1825824).

Almost surely, 242986340 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 42986340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65729664).

42986340 is an abundant number, since it is smaller than the sum of its proper divisors (88472988).

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

42986340 is a wasteful number, since it uses less digits than its factorization.

42986340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42986340 is about 6556.3968763338. The cubic root of 42986340 is about 350.3027041116.

The spelling of 42986340 in words is "forty-two million, nine hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1823 1965 2358 2620 3646 3930 4716 5469 5895 7292 7860 9115 10938 11790 16407 18230 21876 23580 27345 32814 36460 54690 65628 82035 109380 164070 238813 328140 477626 716439 955252 1194065 1432878 2149317 2388130 2865756 3582195 4298634 4776260 7164390 8597268 10746585 14328780 21493170 42986340