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49983966 = 2343137269
BaseRepresentation
bin1011111010101…
…1000111011110
310111001110010000
42332223013132
5100243441331
64543155130
71144566564
oct276530736
9114043100
1049983966
112623a76a
12148a5aa6
13a481016
1468d1a34
1545c50e6
hex2fab1de

49983966 has 80 divisors (see below), whose sum is σ = 119180160. Its totient is φ = 15629760.

The previous prime is 49983959. The next prime is 49983971. The reversal of 49983966 is 66938994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185680 + ... + 185948.

It is an arithmetic number, because the mean of its divisors is an integer number (1489752).

Almost surely, 249983966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49983966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590080).

49983966 is an abundant number, since it is smaller than the sum of its proper divisors (69196194).

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

49983966 is a wasteful number, since it uses less digits than its factorization.

49983966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 49983966 is about 7069.9339459432. The cubic root of 49983966 is about 368.3637658131.

The spelling of 49983966 in words is "forty-nine million, nine hundred eighty-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 81 93 111 162 186 222 269 279 333 538 558 666 807 837 999 1147 1614 1674 1998 2294 2421 2511 2997 3441 4842 5022 5994 6882 7263 8339 9953 10323 14526 16678 19906 20646 21789 25017 29859 30969 43578 50034 59718 61938 75051 89577 92907 150102 179154 185814 225153 268731 308543 450306 537462 617086 675459 806193 925629 1350918 1612386 1851258 2776887 5553774 8330661 16661322 24991983 49983966