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46683868 = 22721159367
BaseRepresentation
bin1011001000010…
…1011011011100
310020211210020011
42302011123130
543422340433
64344333004
71104543400
oct262053334
9106753204
1046683868
1124396310
1213774164
139896bba
1462b3100
1541723cd
hex2c856dc

46683868 has 72 divisors (see below), whose sum is σ = 105719040. Its totient is φ = 17831520.

The previous prime is 46683863. The next prime is 46683907. The reversal of 46683868 is 86838664.

46683868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46683863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127021 + ... + 127387.

It is an arithmetic number, because the mean of its divisors is an integer number (1468320).

Almost surely, 246683868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46683868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52859520).

46683868 is an abundant number, since it is smaller than the sum of its proper divisors (59035172).

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

46683868 is a wasteful number, since it uses less digits than its factorization.

46683868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

The square root of 46683868 is about 6832.5594033276. The cubic root of 46683868 is about 360.0716626884.

The spelling of 46683868 in words is "forty-six million, six hundred eighty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 59 77 98 118 154 196 236 308 367 413 539 649 734 826 1078 1298 1468 1652 2156 2569 2596 2891 4037 4543 5138 5782 8074 9086 10276 11564 16148 17983 18172 21653 28259 31801 35966 43306 56518 63602 71932 86612 113036 127204 151571 197813 238183 303142 395626 476366 606284 791252 952732 1060997 1667281 2121994 3334562 4243988 6669124 11670967 23341934 46683868