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438493986 = 2357612113
BaseRepresentation
bin11010001000101…
…110001100100010
31010120002210200000
4122020232030202
51344223301421
6111302240430
713603065060
oct3210561442
91116083600
10438493986
11205578027
12102a26116
136cacb7c8
1442345030
1528769226
hex1a22e322

438493986 has 96 divisors (see below), whose sum is σ = 1145010048. Its totient is φ = 123171840.

The previous prime is 438493981. The next prime is 438493997. The reversal of 438493986 is 689394834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438493981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206466 + ... + 208578.

It is an arithmetic number, because the mean of its divisors is an integer number (11927188).

Almost surely, 2438493986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438493986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572505024).

438493986 is an abundant number, since it is smaller than the sum of its proper divisors (706516062).

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

438493986 is a wasteful number, since it uses less digits than its factorization.

438493986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2186 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 438493986 is about 20940.2479928008. The cubic root of 438493986 is about 759.7217275326.

The spelling of 438493986 in words is "four hundred thirty-eight million, four hundred ninety-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 81 122 126 162 183 189 243 366 378 427 486 549 567 854 1098 1134 1281 1647 1701 2113 2562 3294 3402 3843 4226 4941 6339 7686 9882 11529 12678 14791 14823 19017 23058 29582 29646 34587 38034 44373 57051 69174 88746 103761 114102 128893 133119 171153 207522 257786 266238 342306 386679 399357 513459 773358 798714 902251 1026918 1160037 1198071 1804502 2320074 2396142 2706753 3480111 3594213 5413506 6960222 7188426 8120259 10440333 16240518 20880666 24360777 31320999 48721554 62641998 73082331 146164662 219246993 438493986