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42322112 = 267175557
BaseRepresentation
bin1010000101110…
…0100011000000
32221122012000122
42201130203000
541313301422
64111035412
71022506040
oct241344300
987565018
1042322112
1121987258
121220bb68
1389ca791
145899720
153aaed42
hex285c8c0

42322112 has 56 divisors (see below), whose sum is σ = 101644704. Its totient is φ = 17068032.

The previous prime is 42322087. The next prime is 42322123. The reversal of 42322112 is 21122324.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×423221122 = 3582322328281088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4838 + ... + 10394.

It is an arithmetic number, because the mean of its divisors is an integer number (1815084).

Almost surely, 242322112 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 42322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50822352).

42322112 is an abundant number, since it is smaller than the sum of its proper divisors (59322592).

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

42322112 is a wasteful number, since it uses less digits than its factorization.

42322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5583 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 42322112 is about 6505.5447120130. The cubic root of 42322112 is about 348.4890292939.

Adding to 42322112 its reverse (21122324), we get a palindrome (63444436).

The spelling of 42322112 in words is "forty-two million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 5557 7616 11114 22228 38899 44456 77798 88912 94469 155596 177824 188938 311192 355648 377876 622384 661283 755752 1244768 1322566 1511504 2489536 2645132 3023008 5290264 6046016 10580528 21161056 42322112