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46487196 = 22347103199
BaseRepresentation
bin1011000101010…
…1011010011100
310020110210110000
42301111122130
543400042241
64340214300
71103064120
oct261253234
9106423400
1046487196
1124271578
121369a390
139828522
146261580
154133eb6
hex2c5569c

46487196 has 120 divisors (see below), whose sum is σ = 140940800. Its totient is φ = 13087008.

The previous prime is 46487191. The next prime is 46487227. The reversal of 46487196 is 69178464.

46487196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×464871962 = 4322118783884832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46487191) 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 39 ways as a sum of consecutive naturals, for example, 233505 + ... + 233703.

It is a vampire number, since it can be written as 64897164 (with its own digits).

Almost surely, 246487196 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 46487196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70470400).

46487196 is an abundant number, since it is smaller than the sum of its proper divisors (94453604).

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

46487196 is a wasteful number, since it uses less digits than its factorization.

46487196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 46487196 is about 6818.1519490255. The cubic root of 46487196 is about 359.5653086653.

The spelling of 46487196 in words is "forty-six million, four hundred eighty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 103 108 126 162 189 199 206 252 309 324 378 398 412 567 597 618 721 756 796 927 1134 1194 1236 1393 1442 1791 1854 2163 2268 2388 2781 2786 2884 3582 3708 4179 4326 5373 5562 5572 6489 7164 8343 8358 8652 10746 11124 12537 12978 16119 16686 16716 19467 20497 21492 25074 25956 32238 33372 37611 38934 40994 50148 58401 61491 64476 75222 77868 81988 112833 116802 122982 143479 150444 184473 225666 233604 245964 286958 368946 430437 451332 553419 573916 737892 860874 1106838 1291311 1660257 1721748 2213676 2582622 3320514 3873933 5165244 6641028 7747866 11621799 15495732 23243598 46487196