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41292225 = 32521319743
BaseRepresentation
bin1001110110000…
…1000111000001
32212200212021200
42131201013001
541032322400
64033011413
71010656332
oct235410701
985625250
1041292225
1121343507
12119b3b69
138729a90
1456ac289
153959b00
hex27611c1

41292225 has 72 divisors (see below), whose sum is σ = 83952960. Its totient is φ = 19232640.

The previous prime is 41292203. The next prime is 41292239. The reversal of 41292225 is 52229214.

It is a happy number.

It is not a de Polignac number, because 41292225 - 25 = 41292193 is a prime.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 55204 + ... + 55946.

Almost surely, 241292225 is an apocalyptic number.

41292225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41292225 is an abundant number, since it is smaller than the sum of its proper divisors (42660735).

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

41292225 is a wasteful number, since it uses less digits than its factorization.

41292225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 783 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 41292225 is about 6425.9026603272. The cubic root of 41292225 is about 345.6390173043.

The spelling of 41292225 in words is "forty-one million, two hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 39 45 57 65 75 95 117 171 195 225 247 285 325 475 585 741 743 855 975 1235 1425 2223 2229 2925 3705 3715 4275 6175 6687 9659 11115 11145 14117 18525 18575 28977 33435 42351 48295 55575 55725 70585 86931 127053 144885 167175 183521 211755 241475 352925 434655 550563 635265 724425 917605 1058775 1651689 2173275 2752815 3176325 4588025 8258445 13764075 41292225