Search a number
-
+
981901950 = 235219218133
BaseRepresentation
bin111010100001101…
…010001001111110
32112102121210020220
4322201222021332
54002331330300
6241233322210
733222012621
oct7241521176
92472553226
10981901950
11464292517
12234a06366
13128571693
1494599db8
155b308da0
hex3a86a27e

981901950 has 72 divisors (see below), whose sum is σ = 2570168088. Its totient is φ = 248045760.

The previous prime is 981901939. The next prime is 981901979. The reversal of 981901950 is 59109189.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45084 + ... + 63216.

It is an arithmetic number, because the mean of its divisors is an integer number (35696779).

Almost surely, 2981901950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981901950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285084044).

981901950 is an abundant number, since it is smaller than the sum of its proper divisors (1588266138).

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

981901950 is a wasteful number, since it uses less digits than its factorization.

981901950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18186 (or 18162 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 42.

The square root of 981901950 is about 31335.3147423159. The cubic root of 981901950 is about 993.9305530090.

The spelling of 981901950 in words is "nine hundred eighty-one million, nine hundred one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 361 475 570 722 950 1083 1425 1805 2166 2850 3610 5415 9025 10830 18050 18133 27075 36266 54150 54399 90665 108798 181330 271995 344527 453325 543990 689054 906650 1033581 1359975 1722635 2067162 2719950 3445270 5167905 6546013 8613175 10335810 13092026 17226350 19638039 25839525 32730065 39276078 51679050 65460130 98190195 163650325 196380390 327300650 490950975 981901950