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41629965 = 3513412127
BaseRepresentation
bin1001111011001…
…1100100001101
32220100000120120
42132303210031
541124124330
64044135153
71013564106
oct236634415
986300516
1041629965
1121554233
1211b374b9
138817720
1457593ad
1539c4c10
hex27b390d

41629965 has 48 divisors (see below), whose sum is σ = 74102784. Its totient is φ = 19837440.

The previous prime is 41629961. The next prime is 41629979. The reversal of 41629965 is 56992614.

It is a happy number.

It is not a de Polignac number, because 41629965 - 22 = 41629961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41629961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327732 + ... + 327858.

It is an arithmetic number, because the mean of its divisors is an integer number (1543808).

Almost surely, 241629965 is an apocalyptic number.

It is an amenable number.

41629965 is a deficient number, since it is larger than the sum of its proper divisors (32472819).

41629965 is a wasteful number, since it uses less digits than its factorization.

41629965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 189 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 41629965 is about 6452.1287184928. The cubic root of 41629965 is about 346.5788172163.

It can be divided in two parts, 416 and 29965, that added together give a triangular number (30381 = T246).

The spelling of 41629965 in words is "forty-one million, six hundred twenty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 13 15 39 41 65 123 127 195 205 381 533 615 635 1599 1651 1681 1905 2665 4953 5043 5207 7995 8255 8405 15621 21853 24765 25215 26035 65559 67691 78105 109265 203073 213487 327795 338455 640461 1015365 1067435 2775331 3202305 8325993 13876655 41629965