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42544425 = 35271153139
BaseRepresentation
bin1010001001001…
…0110100101001
32222001110222110
42202102310221
541342410200
64115512533
71024423140
oct242226451
988043873
1042544425
1122019290
12122b8749
138a77a21
145916757
153b05b50
hex2892d29

42544425 has 96 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 17222400.

The previous prime is 42544393. The next prime is 42544451. The reversal of 42544425 is 52444524.

It is not a de Polignac number, because 42544425 - 25 = 42544393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42544392 and 42544401.

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 95 ways as a sum of consecutive naturals, for example, 306006 + ... + 306144.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 242544425 is an apocalyptic number.

It is an amenable number.

42544425 is an abundant number, since it is smaller than the sum of its proper divisors (47449815).

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

42544425 is a wasteful number, since it uses less digits than its factorization.

42544425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 218 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 42544425 is about 6522.6087572382. The cubic root of 42544425 is about 349.0981543993.

Adding to 42544425 its reverse (52444524), we get a palindrome (94988949).

Subtracting 42544425 from its reverse (52444524), we obtain a palindrome (9900099).

It can be divided in two parts, 425 and 44425, that added together give a triangular number (44850 = T299).

The spelling of 42544425 in words is "forty-two million, five hundred forty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 53 55 75 77 105 139 159 165 175 231 265 275 371 385 417 525 583 695 795 825 973 1113 1155 1325 1529 1749 1855 1925 2085 2915 2919 3475 3975 4081 4587 4865 5565 5775 7367 7645 8745 9275 10425 10703 12243 14575 14595 20405 22101 22935 24325 27825 32109 36835 38225 43725 51569 53515 61215 72975 81037 102025 110505 114675 154707 160545 184175 243111 257845 267575 306075 405185 552525 567259 773535 802725 1215555 1289225 1701777 2025925 2836295 3867675 6077775 8508885 14181475 42544425