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42522500 = 225473233
BaseRepresentation
bin1010001000110…
…1011110000100
32222000100220102
42202031132010
541341210000
64115223232
71024302206
oct242153604
988010812
1042522500
1122003869
12122a7b18
138a6aa57
14590c776
153aee3d5
hex288d784

42522500 has 60 divisors (see below), whose sum is σ = 94666572. Its totient is φ = 16704000.

The previous prime is 42522499. The next prime is 42522527. The reversal of 42522500 is 522524.

It can be written as a sum of positive squares in 10 ways, for example, as 36772096 + 5750404 = 6064^2 + 2398^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 182384 + ... + 182616.

Almost surely, 242522500 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 42522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47333286).

42522500 is an abundant number, since it is smaller than the sum of its proper divisors (52144072).

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

42522500 is a wasteful number, since it uses less digits than its factorization.

42522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 42522500 is about 6520.9278480903. The cubic root of 42522500 is about 349.0381755872.

The spelling of 42522500 in words is "forty-two million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 233 250 292 365 466 500 625 730 932 1165 1250 1460 1825 2330 2500 3650 4660 5825 7300 9125 11650 17009 18250 23300 29125 34018 36500 45625 58250 68036 85045 91250 116500 145625 170090 182500 291250 340180 425225 582500 850450 1700900 2126125 4252250 8504500 10630625 21261250 42522500