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42022380 = 22352337823
BaseRepresentation
bin1010000001001…
…1010111101100
32221001221212110
42200103113230
541224204010
64100404020
71020120141
oct240232754
987057773
1042022380
11217a2044
12120a6610
13892421a
14581c3c8
153a51120
hex28135ec

42022380 has 96 divisors (see below), whose sum is σ = 126249984. Its totient is φ = 10416384.

The previous prime is 42022367. The next prime is 42022399. The reversal of 42022380 is 8322024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50649 + ... + 51471.

It is an arithmetic number, because the mean of its divisors is an integer number (1315104).

Almost surely, 242022380 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 42022380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63124992).

42022380 is an abundant number, since it is smaller than the sum of its proper divisors (84227604).

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

42022380 is a wasteful number, since it uses less digits than its factorization.

42022380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42022380 is about 6482.4671229402. The cubic root of 42022380 is about 347.6643943798.

The spelling of 42022380 in words is "forty-two million, twenty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 555 690 740 823 851 1110 1380 1646 1702 2220 2469 2553 3292 3404 4115 4255 4938 5106 8230 8510 9876 10212 12345 12765 16460 17020 18929 24690 25530 30451 37858 49380 51060 56787 60902 75716 91353 94645 113574 121804 152255 182706 189290 227148 283935 304510 365412 378580 456765 567870 609020 700373 913530 1135740 1400746 1827060 2101119 2801492 3501865 4202238 7003730 8404476 10505595 14007460 21011190 42022380