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443149420 = 225773131331
BaseRepresentation
bin11010011010011…
…110110001101100
31010212212022201111
4122122132301230
51401421240140
6111550121404
713660464550
oct3232366154
91125768644
10443149420
1120816779a
121044b0264
1370a6b7bc
1442bd7860
1528d887ea
hex1a69ec6c

443149420 has 96 divisors (see below), whose sum is σ = 1089639936. Its totient is φ = 148262400.

The previous prime is 443149409. The next prime is 443149429. The reversal of 443149420 is 24941344.

It is not an unprimeable number, because it can be changed into a prime (443149429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338655 + ... + 1338985.

It is an arithmetic number, because the mean of its divisors is an integer number (11350416).

Almost surely, 2443149420 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 443149420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544819968).

443149420 is an abundant number, since it is smaller than the sum of its proper divisors (646490516).

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

443149420 is a wasteful number, since it uses less digits than its factorization.

443149420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 443149420 is about 21051.1144598095. The cubic root of 443149420 is about 762.4008908181.

The spelling of 443149420 in words is "four hundred forty-three million, one hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 131 140 146 262 292 331 365 511 524 655 662 730 917 1022 1310 1324 1460 1655 1834 2044 2317 2555 2620 3310 3668 4585 4634 5110 6620 9170 9268 9563 10220 11585 18340 19126 23170 24163 38252 43361 46340 47815 48326 66941 86722 95630 96652 120815 133882 169141 173444 191260 216805 241630 267764 303527 334705 338282 433610 483260 607054 669410 676564 845705 867220 1214108 1338820 1517635 1691410 3035270 3165353 3382820 6070540 6330706 12661412 15826765 22157471 31653530 44314942 63307060 88629884 110787355 221574710 443149420