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46676952 = 2333730871
BaseRepresentation
bin1011001000001…
…1101111011000
310020211102202000
42302003233120
543422130302
64344241000
71104514260
oct262035730
9106742660
1046676952
11243910a3
1213770160
1398939ca
1462b07a0
15417031c
hex2c83bd8

46676952 has 64 divisors (see below), whose sum is σ = 148185600. Its totient is φ = 13335840.

The previous prime is 46676947. The next prime is 46676953. The reversal of 46676952 is 25967664.

46676952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46676898 and 46676907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46676953) 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 15 ways as a sum of consecutive naturals, for example, 13924 + ... + 16947.

It is an arithmetic number, because the mean of its divisors is an integer number (2315400).

Almost surely, 246676952 is an apocalyptic number.

46676952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46676952 is an abundant number, since it is smaller than the sum of its proper divisors (101508648).

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

46676952 is a wasteful number, since it uses less digits than its factorization.

46676952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30893 (or 30883 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 46676952 is about 6832.0532784808. The cubic root of 46676952 is about 360.0538808242.

The spelling of 46676952 in words is "forty-six million, six hundred seventy-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 30871 61742 92613 123484 185226 216097 246968 277839 370452 432194 555678 648291 740904 833517 864388 1111356 1296582 1667034 1728776 1944873 2222712 2593164 3334068 3889746 5186328 5834619 6668136 7779492 11669238 15558984 23338476 46676952