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46482012 = 2235172997
BaseRepresentation
bin1011000101010…
…0001001011100
310020110112100000
42301110021130
543344411022
64340134300
71103043033
oct261241134
9106415300
1046482012
1124268695
1213697390
139826065
14625d71a
1541326ac
hex2c5425c

46482012 has 144 divisors (see below), whose sum is σ = 134840160. Its totient is φ = 13934592.

The previous prime is 46482001. The next prime is 46482019. The reversal of 46482012 is 21028464.

46482012 is a `hidden beast` number, since 4 + 648 + 2 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46482019) 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 47 ways as a sum of consecutive naturals, for example, 479148 + ... + 479244.

It is an arithmetic number, because the mean of its divisors is an integer number (936390).

Almost surely, 246482012 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 46482012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67420080).

46482012 is an abundant number, since it is smaller than the sum of its proper divisors (88358148).

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

46482012 is a wasteful number, since it uses less digits than its factorization.

46482012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 46482012 is about 6817.7717767611. The cubic root of 46482012 is about 359.5519425773.

The spelling of 46482012 in words is "forty-six million, four hundred eighty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 81 87 97 102 108 116 153 162 174 194 204 243 261 291 306 324 348 388 459 486 493 522 582 612 783 873 918 972 986 1044 1164 1377 1479 1566 1649 1746 1836 1972 2349 2619 2754 2813 2958 3132 3298 3492 4131 4437 4698 4947 5238 5508 5626 5916 6596 7047 7857 8262 8439 8874 9396 9894 10476 11252 13311 14094 14841 15714 16524 16878 17748 19788 23571 25317 26622 28188 29682 31428 33756 39933 44523 47142 47821 50634 53244 59364 75951 79866 89046 94284 95642 101268 119799 133569 143463 151902 159732 178092 191284 227853 239598 267138 286926 303804 400707 430389 455706 479196 534276 573852 683559 801414 860778 911412 1291167 1367118 1602828 1721556 2582334 2734236 3873501 5164668 7747002 11620503 15494004 23241006 46482012