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46676214 = 232131511321
BaseRepresentation
bin1011001000001…
…1100011110110
310020211101201200
42302003203312
543422114324
64344233330
71104512154
oct262034366
9106741650
1046676214
1124390592
121376b846
139893580
1462b03d4
15416eec9
hex2c838f6

46676214 has 48 divisors (see below), whose sum is σ = 109715424. Its totient is φ = 14256000.

The previous prime is 46676209. The next prime is 46676233. The reversal of 46676214 is 41267664.

46676214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 34674 + ... + 35994.

It is an arithmetic number, because the mean of its divisors is an integer number (2285738).

Almost surely, 246676214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46676214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54857712).

46676214 is an abundant number, since it is smaller than the sum of its proper divisors (63039210).

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

46676214 is a wasteful number, since it uses less digits than its factorization.

46676214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1490 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 46676214 is about 6831.9992681498. Note that the first 3 decimals coincide. The cubic root of 46676214 is about 360.0519832341.

The spelling of 46676214 in words is "forty-six million, six hundred seventy-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1321 1359 1963 2642 2718 3926 3963 5889 7926 11778 11889 17173 17667 23778 34346 35334 51519 103038 154557 199471 309114 398942 598413 1196826 1795239 2593123 3590478 5186246 7779369 15558738 23338107 46676214