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46630640 = 245783269
BaseRepresentation
bin1011000111100…
…0011011110000
310020202002012202
42301320123300
543414140030
64343242332
71104232250
oct261703360
9106662182
1046630640
112435a321
12137493a8
1398788c4
14629b960
154161745
hex2c786f0

46630640 has 40 divisors (see below), whose sum is σ = 123905760. Its totient is φ = 15987456.

The previous prime is 46630631. The next prime is 46630667. The reversal of 46630640 is 4603664.

46630640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 41075 + ... + 42194.

It is an arithmetic number, because the mean of its divisors is an integer number (3097644).

Almost surely, 246630640 is an apocalyptic number.

46630640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46630640 is an abundant number, since it is smaller than the sum of its proper divisors (77275120).

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

46630640 is a wasteful number, since it uses less digits than its factorization.

46630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83289 (or 83283 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 46630640 is about 6828.6631195279. The cubic root of 46630640 is about 359.9347618410.

The spelling of 46630640 in words is "forty-six million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 83269 166538 333076 416345 582883 666152 832690 1165766 1332304 1665380 2331532 2914415 3330760 4663064 5828830 6661520 9326128 11657660 23315320 46630640