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42540225 = 35271323271
BaseRepresentation
bin1010001001000…
…1110011000001
32222001021012220
42202101303001
541342241400
64115441253
71024404660
oct242216301
988037186
1042540225
1122016112
12122b6229
138a75b40
145914dd7
153b047a0
hex2891cc1

42540225 has 96 divisors (see below), whose sum is σ = 90660864. Its totient is φ = 17107200.

The previous prime is 42540191. The next prime is 42540227. The reversal of 42540225 is 52204524.

It is a happy number.

It is not a de Polignac number, because 42540225 - 28 = 42539969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42540195 and 42540204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156840 + ... + 157110.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 242540225 is an apocalyptic number.

It is an amenable number.

42540225 is an abundant number, since it is smaller than the sum of its proper divisors (48120639).

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

42540225 is a wasteful number, since it uses less digits than its factorization.

42540225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

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

The square root of 42540225 is about 6522.2867922225. The cubic root of 42540225 is about 349.0866663253.

Adding to 42540225 its reverse (52204524), we get a palindrome (94744749).

The spelling of 42540225 in words is "forty-two million, five hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 23 25 35 39 65 69 75 91 105 115 161 175 195 271 273 299 325 345 455 483 525 575 805 813 897 975 1355 1365 1495 1725 1897 2093 2275 2415 3523 4025 4065 4485 5691 6233 6279 6775 6825 7475 9485 10465 10569 12075 17615 18699 20325 22425 24661 28455 31165 31395 43631 47425 52325 52845 73983 81029 88075 93495 123305 130893 142275 155825 156975 218155 243087 264225 369915 405145 467475 567203 616525 654465 1090775 1215435 1701609 1849575 2025725 2836015 3272325 6077175 8508045 14180075 42540225