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42162282 = 2342331117
BaseRepresentation
bin1010000011010…
…1100001101010
32221100001210000
42200311201222
541243143112
64103403430
71021242051
oct240654152
987301700
1042162282
1121888168
1212153576
138972ac6
145857398
153a7c7dc
hex283586a

42162282 has 40 divisors (see below), whose sum is σ = 94965156. Its totient is φ = 13981248.

The previous prime is 42162269. The next prime is 42162283. The reversal of 42162282 is 28226124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34327881 + 7834401 = 5859^2 + 2799^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42162283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37188 + ... + 38304.

Almost surely, 242162282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42162282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47482578).

42162282 is an abundant number, since it is smaller than the sum of its proper divisors (52802874).

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

42162282 is a wasteful number, since it uses less digits than its factorization.

42162282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1355 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 42162282 is about 6493.2489556462. The cubic root of 42162282 is about 348.0497847918.

The spelling of 42162282 in words is "forty-two million, one hundred sixty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 466 699 1117 1398 2097 2234 3351 4194 6291 6702 10053 12582 18873 20106 30159 37746 60318 90477 180954 260261 520522 780783 1561566 2342349 4684698 7027047 14054094 21081141 42162282