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4446981 = 347112331
BaseRepresentation
bin10000111101101100000101
322100221010000
4100331230011
52114300411
6235151513
752540650
oct20755405
98327100
104446981
1125680a0
1215a5599
13bc9166
1483a897
155cc956
hex43db05

4446981 has 80 divisors (see below), whose sum is σ = 8921088. Its totient is φ = 2138400.

The previous prime is 4446977. The next prime is 4446997. The reversal of 4446981 is 1896444.

It is a happy number.

It is not a de Polignac number, because 4446981 - 22 = 4446977 is a prime.

It is a super-2 number, since 2×44469812 = 39551280028722, which contains 22 as substring.

4446981 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4446971) 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 79 ways as a sum of consecutive naturals, for example, 143436 + ... + 143466.

Almost surely, 24446981 is an apocalyptic number.

It is an amenable number.

4446981 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4446981 is a wasteful number, since it uses less digits than its factorization.

4446981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4446981 is about 2108.7866179393. The cubic root of 4446981 is about 164.4454107598.

It can be divided in two parts, 4 and 446981, that added together give a triangular number (446985 = T945).

The spelling of 4446981 in words is "four million, four hundred forty-six thousand, nine hundred eighty-one".

Divisors: 1 3 7 9 11 21 23 27 31 33 63 69 77 81 93 99 161 189 207 217 231 253 279 297 341 483 567 621 651 693 713 759 837 891 1023 1449 1771 1863 1953 2079 2139 2277 2387 2511 3069 4347 4991 5313 5859 6237 6417 6831 7161 7843 9207 13041 14973 15939 17577 19251 20493 21483 23529 27621 44919 47817 54901 57753 64449 70587 134757 143451 164703 193347 211761 404271 494109 635283 1482327 4446981