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42722568 = 23327293779
BaseRepresentation
bin1010001011111…
…0010100001000
32222101112100100
42202332110020
541414110233
64123405400
71026064410
oct242762410
988345310
1042722568
1122130109
1212383860
138b0ab35
145961640
153b3d813
hex28be508

42722568 has 192 divisors, whose sum is σ = 142272000. Its totient is φ = 11321856.

The previous prime is 42722567. The next prime is 42722573. The reversal of 42722568 is 86522724.

42722568 is a `hidden beast` number, since 427 + 225 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42722567) 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 47 ways as a sum of consecutive naturals, for example, 540753 + ... + 540831.

It is an arithmetic number, because the mean of its divisors is an integer number (741000).

Almost surely, 242722568 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 42722568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71136000).

42722568 is an abundant number, since it is smaller than the sum of its proper divisors (99549432).

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

42722568 is a wasteful number, since it uses less digits than its factorization.

42722568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 42722568 is about 6536.2503012048. The cubic root of 42722568 is about 349.5847265223.

The spelling of 42722568 in words is "forty-two million, seven hundred twenty-two thousand, five hundred sixty-eight".