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46834864 = 2417233739
BaseRepresentation
bin1011001010101…
…0010010110000
310021010110100121
42302222102300
543442203424
64351500024
71106042536
oct262522260
9107113317
1046834864
11244897aa
1213827614
13991a84b
146312156
1541a1ee4
hex2caa4b0

46834864 has 40 divisors (see below), whose sum is σ = 96623280. Its totient is φ = 21915648.

The previous prime is 46834861. The next prime is 46834871. The reversal of 46834864 is 46843864.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46834864.

It is not an unprimeable number, because it can be changed into a prime (46834861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63007 + ... + 63745.

It is an arithmetic number, because the mean of its divisors is an integer number (2415582).

Almost surely, 246834864 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 46834864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48311640).

46834864 is an abundant number, since it is smaller than the sum of its proper divisors (49788416).

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

46834864 is a wasteful number, since it uses less digits than its factorization.

46834864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The square root of 46834864 is about 6843.6002221053. The cubic root of 46834864 is about 360.4594545182.

The spelling of 46834864 in words is "forty-six million, eight hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 233 272 466 739 932 1478 1864 2956 3728 3961 5912 7922 11824 12563 15844 25126 31688 50252 63376 100504 172187 201008 344374 688748 1377496 2754992 2927179 5854358 11708716 23417432 46834864