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42052725 = 325211131307
BaseRepresentation
bin1010000001101…
…0110001110101
32221010111111100
42200122301311
541231141400
64101200313
71020304461
oct240326165
987114440
1042052725
1121812920
1212100099
138934c90
1458294a1
153a5a100
hex281ac75

42052725 has 72 divisors (see below), whose sum is σ = 88556832. Its totient is φ = 18806400.

The previous prime is 42052723. The next prime is 42052739. The reversal of 42052725 is 52725024.

It is not a de Polignac number, because 42052725 - 21 = 42052723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42052721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31522 + ... + 32828.

It is an arithmetic number, because the mean of its divisors is an integer number (1229956).

Almost surely, 242052725 is an apocalyptic number.

42052725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42052725 is an abundant number, since it is smaller than the sum of its proper divisors (46504107).

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

42052725 is a wasteful number, since it uses less digits than its factorization.

42052725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 42052725 is about 6484.8072446296. The cubic root of 42052725 is about 347.7480588276.

Adding to 42052725 its reverse (52725024), we get a palindrome (94777749).

The spelling of 42052725 in words is "forty-two million, fifty-two thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 429 495 585 715 825 975 1287 1307 2145 2475 2925 3575 3921 6435 6535 10725 11763 14377 16991 19605 32175 32675 43131 50973 58815 71885 84955 98025 129393 152919 186901 215655 254865 294075 359425 424775 560703 646965 764595 934505 1078275 1274325 1682109 2803515 3234825 3822975 4672525 8410545 14017575 42052725