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42225282 = 232111671277
BaseRepresentation
bin1010000100010…
…0111010000010
32221110021012100
42201010322002
541302202112
64105011230
71021623531
oct241047202
987407170
1042225282
1121920530
1212183b16
138995698
145872318
153a912dc
hex2844e82

42225282 has 48 divisors (see below), whose sum is σ = 100481472. Its totient is φ = 12708960.

The previous prime is 42225257. The next prime is 42225283. The reversal of 42225282 is 28252224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42225283) 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, 32428 + ... + 33704.

It is an arithmetic number, because the mean of its divisors is an integer number (2093364).

Almost surely, 242225282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42225282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50240736).

42225282 is an abundant number, since it is smaller than the sum of its proper divisors (58256190).

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

42225282 is a wasteful number, since it uses less digits than its factorization.

42225282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1460 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 42225282 is about 6498.0983372060. The cubic root of 42225282 is about 348.2230535927.

The spelling of 42225282 in words is "forty-two million, two hundred twenty-five thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 167 198 334 501 1002 1277 1503 1837 2554 3006 3674 3831 5511 7662 11022 11493 14047 16533 22986 28094 33066 42141 84282 126423 213259 252846 426518 639777 1279554 1919331 2345849 3838662 4691698 7037547 14075094 21112641 42225282