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46313946 = 23271372683
BaseRepresentation
bin1011000010101…
…1000111011010
310020010222210100
42300223013122
543324021241
64332400230
71101443040
oct260530732
9106128710
1046313946
1124163398
1213616076
139797703
146218390
1540ec9b6
hex2c2b1da

46313946 has 48 divisors (see below), whose sum is σ = 115562304. Its totient is φ = 13131072.

The previous prime is 46313929. The next prime is 46313959. The reversal of 46313946 is 64931364.

46313946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 46313946.

It is an unprimeable number.

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, 15921 + ... + 18603.

It is an arithmetic number, because the mean of its divisors is an integer number (2407548).

Almost surely, 246313946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46313946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57781152).

46313946 is an abundant number, since it is smaller than the sum of its proper divisors (69248358).

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

46313946 is a wasteful number, since it uses less digits than its factorization.

46313946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2832 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 46313946 is about 6805.4350338535. The cubic root of 46313946 is about 359.1180727020.

The spelling of 46313946 in words is "forty-six million, three hundred thirteen thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 1233 1918 2466 2683 2877 5366 5754 8049 8631 16098 17262 18781 24147 37562 48294 56343 112686 169029 338058 367571 735142 1102713 2205426 2572997 3308139 5145994 6616278 7718991 15437982 23156973 46313946