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42210525 = 3527374153
BaseRepresentation
bin1010000100000…
…1010011011101
32221102111221210
42201001103131
541301214100
64104415033
71021532520
oct241012335
987374853
1042210525
1121910435
1212177479
13898ba56
14586abb7
153a8bc50
hex28414dd

42210525 has 96 divisors (see below), whose sum is σ = 85494528. Its totient is φ = 17971200.

The previous prime is 42210523. The next prime is 42210529. The reversal of 42210525 is 52501224.

It is a happy number.

It is not a de Polignac number, because 42210525 - 21 = 42210523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42210521) 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 95 ways as a sum of consecutive naturals, for example, 796399 + ... + 796451.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 242210525 is an apocalyptic number.

It is an amenable number.

42210525 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

42210525 is a wasteful number, since it uses less digits than its factorization.

42210525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42210525 is about 6496.9627519326. The cubic root of 42210525 is about 348.1824829037.

Adding to 42210525 its reverse (52501224), we get a palindrome (94711749).

The spelling of 42210525 in words is "forty-two million, two hundred ten thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 37 41 53 75 105 111 123 159 175 185 205 259 265 287 371 525 555 615 777 795 861 925 1025 1113 1295 1325 1435 1517 1855 1961 2173 2775 3075 3885 3975 4305 4551 5565 5883 6475 6519 7175 7585 9275 9805 10619 10865 13727 15211 19425 21525 22755 27825 29415 31857 32595 37925 41181 45633 49025 53095 54325 68635 76055 80401 113775 147075 159285 162975 205905 228165 241203 265475 343175 380275 402005 562807 796425 1029525 1140825 1206015 1688421 2010025 2814035 6030075 8442105 14070175 42210525