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41225625 = 33547349
BaseRepresentation
bin1001110101000…
…0110110011001
32212120110221000
42131100312121
541023210000
64031335213
71010261220
oct235206631
985513830
1041225625
11212a8471
1211981509
13870567c
145691cb7
153945000
hex2750d99

41225625 has 80 divisors (see below), whose sum is σ = 87472000. Its totient is φ = 18792000.

The previous prime is 41225621. The next prime is 41225651. The reversal of 41225625 is 52652214.

41225625 = T301 + T302 + ... + T649.

41225625 is a `hidden beast` number, since 4 + 12 + 25 + 625 = 666.

41225625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41225625 - 22 = 41225621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41225621) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 117951 + ... + 118299.

It is an arithmetic number, because the mean of its divisors is an integer number (1093400).

Almost surely, 241225625 is an apocalyptic number.

41225625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41225625 is an abundant number, since it is smaller than the sum of its proper divisors (46246375).

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

41225625 is an equidigital number, since it uses as much as digits as its factorization.

41225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 41225625 is about 6420.7184177473. The cubic root of 41225625 is about 345.4530908925.

Adding to 41225625 its reverse (52652214), we get a palindrome (93877839).

The spelling of 41225625 in words is "forty-one million, two hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 349 375 525 625 675 875 945 1047 1125 1575 1745 1875 2443 2625 3141 3375 4375 4725 5235 5625 7329 7875 8725 9423 12215 13125 15705 16875 21987 23625 26175 36645 39375 43625 47115 61075 65961 78525 109935 118125 130875 183225 218125 235575 305375 329805 392625 549675 654375 916125 1177875 1526875 1649025 1963125 2748375 4580625 5889375 8245125 13741875 41225625