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42522090 = 2351328387
BaseRepresentation
bin1010001000110…
…1010111101010
32222000100100020
42202031113222
541341201330
64115221310
71024301052
oct242152752
988010306
1042522090
1122003526
12122a7836
138a6a800
14590c562
153aee210
hex288d5ea

42522090 has 48 divisors (see below), whose sum is σ = 110520288. Its totient is φ = 10465728.

The previous prime is 42522089. The next prime is 42522107. The reversal of 42522090 is 9022524.

42522090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42522090.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877 + ... + 9263.

It is an arithmetic number, because the mean of its divisors is an integer number (2302506).

Almost surely, 242522090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42522090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55260144).

42522090 is an abundant number, since it is smaller than the sum of its proper divisors (67998198).

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

42522090 is a wasteful number, since it uses less digits than its factorization.

42522090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42522090 is about 6520.8964107705. The cubic root of 42522090 is about 349.0370537802.

The spelling of 42522090 in words is "forty-two million, five hundred twenty-two thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 8387 16774 25161 41935 50322 83870 109031 125805 218062 251610 327093 545155 654186 1090310 1417403 1635465 2834806 3270930 4252209 7087015 8504418 14174030 21261045 42522090