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48335417 = 133125373
BaseRepresentation
bin1011100001100…
…0101000111001
310100221200201122
42320120220321
544333213132
64443555025
71124562404
oct270305071
9110850648
1048335417
1125314129
121422ba75
13a024850
1465c2d3b
15439b912
hex2e18a39

48335417 has 24 divisors (see below), whose sum is σ = 55552392. Its totient is φ = 41783040.

The previous prime is 48335407. The next prime is 48335423. The reversal of 48335417 is 71453384.

It can be written as a sum of positive squares in 4 ways, for example, as 5550736 + 42784681 = 2356^2 + 6541^2 .

It is not a de Polignac number, because 48335417 - 222 = 44141113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48335407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662093 + ... + 662165.

It is an arithmetic number, because the mean of its divisors is an integer number (2314683).

Almost surely, 248335417 is an apocalyptic number.

It is an amenable number.

48335417 is a deficient number, since it is larger than the sum of its proper divisors (7216975).

48335417 is a wasteful number, since it uses less digits than its factorization.

48335417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 48335417 is about 6952.3677261779. The cubic root of 48335417 is about 364.2686726507.

The spelling of 48335417 in words is "forty-eight million, three hundred thirty-five thousand, four hundred seventeen".

Divisors: 1 13 31 53 73 403 689 949 961 1643 2263 3869 12493 21359 29419 50297 50933 70153 119939 662129 911989 1559207 3718109 48335417