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46904 = 23111341
BaseRepresentation
bin1011011100111000
32101100012
423130320
53000104
61001052
7253514
oct133470
971305
1046904
1132270
1223188
1318470
1413144
15dd6e
hexb738

46904 has 32 divisors (see below), whose sum is σ = 105840. Its totient is φ = 19200.

The previous prime is 46901. The next prime is 46919. The reversal of 46904 is 40964.

It is a self number, because there is not a number n which added to its sum of digits gives 46904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1124 + ... + 1164.

246904 is an apocalyptic number.

46904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920).

46904 is an abundant number, since it is smaller than the sum of its proper divisors (58936).

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

46904 is a wasteful number, since it uses less digits than its factorization.

46904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 46904 is about 216.5733132221. The cubic root of 46904 is about 36.0636733226.

The spelling of 46904 in words is "forty-six thousand, nine hundred four".

Divisors: 1 2 4 8 11 13 22 26 41 44 52 82 88 104 143 164 286 328 451 533 572 902 1066 1144 1804 2132 3608 4264 5863 11726 23452 46904