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42229088 = 2511177057
BaseRepresentation
bin1010000100010…
…1110101100000
32221110110102022
42201011311200
541302312323
64105041012
71021640606
oct241056540
987413368
1042229088
1121923380
1212186168
138997335
145873876
153a924c8
hex2845d60

42229088 has 48 divisors (see below), whose sum is σ = 96045264. Its totient is φ = 18063360.

The previous prime is 42229087. The next prime is 42229091. The reversal of 42229088 is 88092224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42229087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2456 + ... + 9512.

It is an arithmetic number, because the mean of its divisors is an integer number (2000943).

Almost surely, 242229088 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 42229088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48022632).

42229088 is an abundant number, since it is smaller than the sum of its proper divisors (53816176).

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

42229088 is a wasteful number, since it uses less digits than its factorization.

42229088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 42229088 is about 6498.3911855166. The cubic root of 42229088 is about 348.2335157066.

The spelling of 42229088 in words is "forty-two million, two hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 7057 14114 28228 56456 77627 112912 119969 155254 225824 239938 310508 479876 621016 959752 1242032 1319659 1919504 2484064 2639318 3839008 5278636 10557272 21114544 42229088