Search a number
-
+
1982402500 = 225413181337
BaseRepresentation
bin111011000101001…
…0000111111000100
312010011020110222211
41312022100333010
513024443340000
6524413433204
7100061100061
oct16612207704
95104213884
101982402500
11928018381
12473a9b804
13257925640
1414b3d7c68
15b90887ba
hex76290fc4

1982402500 has 120 divisors (see below), whose sum is σ = 4708311608. Its totient is φ = 725760000.

The previous prime is 1982402497. The next prime is 1982402501. The reversal of 1982402500 is 52042891.

It can be written as a sum of positive squares in 20 ways, for example, as 1447498116 + 534904384 = 38046^2 + 23128^2 .

It is not an unprimeable number, because it can be changed into a prime (1982402501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5882332 + ... + 5882668.

Almost surely, 21982402500 is an apocalyptic number.

1982402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982402500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354155804).

1982402500 is an abundant number, since it is smaller than the sum of its proper divisors (2725909108).

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

1982402500 is a wasteful number, since it uses less digits than its factorization.

1982402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1982402500 is about 44524.1788245443. The cubic root of 1982402500 is about 1256.2149153176.

The spelling of 1982402500 in words is "one billion, nine hundred eighty-two million, four hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 181 250 260 325 337 362 500 625 650 674 724 905 1250 1300 1348 1625 1685 1810 2353 2500 3250 3370 3620 4381 4525 4706 6500 6740 8125 8425 8762 9050 9412 11765 16250 16850 17524 18100 21905 22625 23530 32500 33700 42125 43810 45250 47060 58825 60997 84250 87620 90500 109525 113125 117650 121994 168500 210625 219050 226250 235300 243988 294125 304985 421250 438100 452500 547625 588250 609970 792961 842500 1095250 1176500 1219940 1470625 1524925 1585922 2190500 2738125 2941250 3049850 3171844 3964805 5476250 5882500 6099700 7624625 7929610 10952500 15249250 15859220 19824025 30498500 38123125 39648050 76246250 79296100 99120125 152492500 198240250 396480500 495600625 991201250 1982402500