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41966325 = 325237712
BaseRepresentation
bin1010000000010…
…1101011110101
32220222002222100
42200011223311
541220410300
64055252313
71016464542
oct240055365
986862870
1041966325
1121763a15
121207a099
13890485b
145805bc9
153a3e700
hex2805af5

41966325 has 54 divisors (see below), whose sum is σ = 78300482. Its totient is φ = 21470400.

The previous prime is 41966317. The next prime is 41966333. The reversal of 41966325 is 52366914.

It is a happy number.

41966325 is a `hidden beast` number, since 4 + 19 + 6 + 632 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (41966317) and next prime (41966333).

It can be written as a sum of positive squares in 3 ways, for example, as 8892324 + 33074001 = 2982^2 + 5751^2 .

It is not a de Polignac number, because 41966325 - 23 = 41966317 is a prime.

It is a super-3 number, since 3×419663253 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 41966325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 591040 + ... + 591110.

Almost surely, 241966325 is an apocalyptic number.

41966325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41966325 is a deficient number, since it is larger than the sum of its proper divisors (36334157).

41966325 is a wasteful number, since it uses less digits than its factorization.

41966325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 116 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 41966325 is about 6478.1420947676. The cubic root of 41966325 is about 347.5097386985.

The spelling of 41966325 in words is "forty-one million, nine hundred sixty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 71 75 111 185 213 225 333 355 555 639 925 1065 1665 1775 2627 2775 3195 5041 5325 7881 8325 13135 15123 15975 23643 25205 39405 45369 65675 75615 118215 126025 186517 197025 226845 378075 559551 591075 932585 1134225 1678653 2797755 4662925 8393265 13988775 41966325