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49957965 = 345293421
BaseRepresentation
bin1011111010010…
…0110001001101
310111000010110000
42332210301031
5100242123330
64542434513
71144431021
oct276446115
9114003400
1049957965
1126222182
1214892a39
13a472235
1468c6381
1545bc560
hex2fa4c4d

49957965 has 40 divisors (see below), whose sum is σ = 90073368. Its totient is φ = 26490240.

The previous prime is 49957961. The next prime is 49957969. The reversal of 49957965 is 56975994.

49957965 is a `hidden beast` number, since 4 + 9 + 9 + 579 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (49957961) and next prime (49957969).

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 47155689 = 1674^2 + 6867^2 .

It is not a de Polignac number, because 49957965 - 22 = 49957961 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49957961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118455 + ... + 118875.

Almost surely, 249957965 is an apocalyptic number.

49957965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49957965 is a deficient number, since it is larger than the sum of its proper divisors (40115403).

49957965 is a wasteful number, since it uses less digits than its factorization.

49957965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 722 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The square root of 49957965 is about 7068.0948635400. The cubic root of 49957965 is about 368.2998820769.

The spelling of 49957965 in words is "forty-nine million, nine hundred fifty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 293 405 421 879 1263 1465 2105 2637 3789 4395 6315 7911 11367 13185 18945 23733 34101 39555 56835 118665 123353 170505 370059 616765 1110177 1850295 3330531 5550885 9991593 16652655 49957965