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46055988 = 223211297109
BaseRepresentation
bin1010111110110…
…0001000110100
310012122212221100
42233230020310
543242242423
64323050100
71066320006
oct257541064
9105585840
1046055988
1123aa7600
1213510930
139707184
14618c376
15409b343
hex2bec234

46055988 has 108 divisors (see below), whose sum is σ = 130470340. Its totient is φ = 13685760.

The previous prime is 46055969. The next prime is 46056011. The reversal of 46055988 is 88955064.

46055988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 19554084 = 5148^2 + 4422^2 .

It is a super-2 number, since 2×460559882 = 4242308061312288, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 422478 + ... + 422586.

Almost surely, 246055988 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 46055988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65235170).

46055988 is an abundant number, since it is smaller than the sum of its proper divisors (84414352).

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

46055988 is a wasteful number, since it uses less digits than its factorization.

46055988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 46055988 is about 6786.4562180861. The cubic root of 46055988 is about 358.4500960513.

The spelling of 46055988 in words is "forty-six million, fifty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 109 121 132 194 198 218 242 291 327 363 388 396 436 484 582 654 726 873 981 1067 1089 1164 1199 1308 1452 1746 1962 2134 2178 2398 3201 3492 3597 3924 4268 4356 4796 6402 7194 9603 10573 10791 11737 12804 13189 14388 19206 21146 21582 23474 26378 31719 35211 38412 39567 42292 43164 46948 52756 63438 70422 79134 95157 105633 116303 118701 126876 140844 158268 190314 211266 232606 237402 348909 380628 422532 465212 474804 697818 1046727 1279333 1395636 2093454 2558666 3837999 4186908 5117332 7675998 11513997 15351996 23027994 46055988