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42060816 = 2433721987
BaseRepresentation
bin1010000001110…
…0110000010000
32221010220121000
42200130300100
541231421231
64101302000
71020340200
oct240346020
987126530
1042060816
1121818a06
1212104900
138938875
14582c400
153a5c6e6
hex281cc10

42060816 has 120 divisors (see below), whose sum is σ = 140511840. Its totient is φ = 12011328.

The previous prime is 42060797. The next prime is 42060829. The reversal of 42060816 is 61806024.

42060816 is a `hidden beast` number, since 42 + 0 + 608 + 16 = 666.

It is a super-2 number, since 2×420608162 = 3538224485171712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42060816.

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, 20175 + ... + 22161.

It is an arithmetic number, because the mean of its divisors is an integer number (1170932).

Almost surely, 242060816 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 42060816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70255920).

42060816 is an abundant number, since it is smaller than the sum of its proper divisors (98451024).

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

42060816 is a wasteful number, since it uses less digits than its factorization.

42060816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42060816 is about 6485.4310573778. The cubic root of 42060816 is about 347.7703597931.

The spelling of 42060816 in words is "forty-two million, sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 1987 2352 2646 3024 3528 3974 5292 5961 7056 7948 10584 11922 13909 15896 17883 21168 23844 27818 31792 35766 41727 47688 53649 55636 71532 83454 95376 97363 107298 111272 125181 143064 166908 194726 214596 222544 250362 286128 292089 333816 375543 389452 429192 500724 584178 667632 751086 778904 858384 876267 1001448 1168356 1502172 1557808 1752534 2002896 2336712 2628801 3004344 3505068 4673424 5257602 6008688 7010136 10515204 14020272 21030408 42060816