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41200425 = 32527237101
BaseRepresentation
bin1001110100101…
…0101100101001
32212112012100200
42131022230221
541021403200
64031022413
71010124600
oct235125451
985465320
1041200425
1121290542
121196aa09
1386c7066
145686a37
15393c800
hex274ab29

41200425 has 108 divisors (see below), whose sum is σ = 89035596. Its totient is φ = 18144000.

The previous prime is 41200409. The next prime is 41200433. The reversal of 41200425 is 52400214.

41200425 is a `hidden beast` number, since 41 + 200 + 425 = 666.

41200425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5631129 + 35569296 = 2373^2 + 5964^2 .

It is not a de Polignac number, because 41200425 - 24 = 41200409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41200398 and 41200407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 407875 + ... + 407975.

Almost surely, 241200425 is an apocalyptic number.

41200425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41200425 is an abundant number, since it is smaller than the sum of its proper divisors (47835171).

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

41200425 is a wasteful number, since it uses less digits than its factorization.

41200425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41200425 is about 6418.7557205427. The cubic root of 41200425 is about 345.3826881411.

Adding to 41200425 its reverse (52400214), we get a palindrome (93600639).

The spelling of 41200425 in words is "forty-one million, two hundred thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 45 49 63 75 101 105 111 147 175 185 225 245 259 303 315 333 441 505 525 555 707 735 777 909 925 1225 1295 1515 1575 1665 1813 2121 2205 2331 2525 2775 3535 3675 3737 3885 4545 4949 5439 6363 6475 7575 8325 9065 10605 11025 11211 11655 14847 16317 17675 18685 19425 22725 24745 26159 27195 31815 33633 44541 45325 53025 56055 58275 74235 78477 81585 93425 123725 130795 135975 159075 168165 183113 222705 235431 280275 371175 392385 407925 549339 653975 840825 915565 1113525 1177155 1648017 1961925 2746695 4577825 5885775 8240085 13733475 41200425