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42020316 = 2233131732
BaseRepresentation
bin1010000001001…
…0110111011100
32221001212001000
42200102313130
541224122231
64100350300
71020111132
oct240226734
987055030
1042020316
11217a0538
12120a5390
1389232c0
14581b752
153a506e6
hex2812ddc

42020316 has 72 divisors (see below), whose sum is σ = 118003760. Its totient is φ = 12854592.

The previous prime is 42020309. The next prime is 42020317. The reversal of 42020316 is 61302024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242806 + ... + 242978.

Almost surely, 242020316 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 42020316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59001880).

42020316 is an abundant number, since it is smaller than the sum of its proper divisors (75983444).

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

42020316 is a wasteful number, since it uses less digits than its factorization.

42020316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42020316 is about 6482.3079223375. The cubic root of 42020316 is about 347.6587022457.

It can be divided in two parts, 420 and 20316, that added together give a 4-th power (20736 = 124).

The spelling of 42020316 in words is "forty-two million, twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 173 234 346 351 468 519 692 702 1038 1404 1557 2076 2249 3114 4498 4671 6228 6747 8996 9342 13494 18684 20241 26988 29929 40482 59858 60723 80964 89787 119716 121446 179574 242892 269361 359148 389077 538722 778154 808083 1077444 1167231 1556308 1616166 2334462 3232332 3501693 4668924 7003386 10505079 14006772 21010158 42020316