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42252225 = 35217311069
BaseRepresentation
bin1010000100101…
…1011111000001
32221111122011020
42201023133001
541304032400
64105340053
71022065221
oct241133701
987448136
1042252225
11219397a4
1212197629
1389a4a22
14587c081
153a992a0
hex284b7c1

42252225 has 48 divisors (see below), whose sum is σ = 76423680. Its totient is φ = 20505600.

The previous prime is 42252193. The next prime is 42252227. The reversal of 42252225 is 52225224.

It is a happy number.

It is not a de Polignac number, because 42252225 - 25 = 42252193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42252195 and 42252204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38991 + ... + 40059.

It is an arithmetic number, because the mean of its divisors is an integer number (1592160).

Almost surely, 242252225 is an apocalyptic number.

It is an amenable number.

42252225 is a deficient number, since it is larger than the sum of its proper divisors (34171455).

42252225 is a wasteful number, since it uses less digits than its factorization.

42252225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1125 counting only the distinct ones).

The product of its digits is 3200, while the sum is 24.

The square root of 42252225 is about 6500.1711515929. The cubic root of 42252225 is about 348.2971022706.

Adding to 42252225 its reverse (52225224), we get a palindrome (94477449).

The spelling of 42252225 in words is "forty-two million, two hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 25 31 51 75 85 93 155 255 425 465 527 775 1069 1275 1581 2325 2635 3207 5345 7905 13175 16035 18173 26725 33139 39525 54519 80175 90865 99417 165695 272595 454325 497085 563363 828475 1362975 1690089 2485425 2816815 8450445 14084075 42252225