Search a number
-
+
444231700 = 225211431937
BaseRepresentation
bin11010011110100…
…111000000010100
31010221220022022221
4122132213000110
51402210403300
6112025232124
714002623103
oct3236470024
91127808287
10444231700
11208836940
12104932644
137105a2c3
1442dda03a
1528eee31a
hex1a7a7014

444231700 has 72 divisors (see below), whose sum is σ = 1055182464. Its totient is φ = 160992000.

The previous prime is 444231691. The next prime is 444231713. The reversal of 444231700 is 7132444.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 473632 + ... + 474568.

It is an arithmetic number, because the mean of its divisors is an integer number (14655312).

Almost surely, 2444231700 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 444231700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527591232).

444231700 is an abundant number, since it is smaller than the sum of its proper divisors (610950764).

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

444231700 is a wasteful number, since it uses less digits than its factorization.

444231700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 444231700 is about 21076.8047863048. The cubic root of 444231700 is about 763.0210431372.

The spelling of 444231700 in words is "four hundred forty-four million, two hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 431 550 862 937 1100 1724 1874 2155 3748 4310 4685 4741 8620 9370 9482 10307 10775 18740 18964 20614 21550 23425 23705 41228 43100 46850 47410 51535 93700 94820 103070 118525 206140 237050 257675 403847 474100 515350 807694 1030700 1615388 2019235 4038470 4442317 8076940 8884634 10096175 17769268 20192350 22211585 40384700 44423170 88846340 111057925 222115850 444231700