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1982427900 = 2235241533041
BaseRepresentation
bin111011000101001…
…0111001011111100
312010011021202211120
41312022113023330
513030000143100
6524414150540
7100061234115
oct16612271374
95104252746
101982427900
11928035472
12473ab2450
1325793407b
1414b40320c
15b90910a0
hex762972fc

1982427900 has 144 divisors (see below), whose sum is σ = 5988554208. Its totient is φ = 505856000.

The previous prime is 1982427893. The next prime is 1982427911. The reversal of 1982427900 is 97242891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650380 + ... + 653420.

It is an arithmetic number, because the mean of its divisors is an integer number (41587182).

Almost surely, 21982427900 is an apocalyptic number.

1982427900 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 1982427900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994277104).

1982427900 is an abundant number, since it is smaller than the sum of its proper divisors (4006126308).

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

1982427900 is a wasteful number, since it uses less digits than its factorization.

1982427900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1982427900 is about 44524.4640619065. The cubic root of 1982427900 is about 1256.2202804781.

The spelling of 1982427900 in words is "one billion, nine hundred eighty-two million, four hundred twenty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 53 60 75 82 100 106 123 150 159 164 205 212 246 265 300 318 410 492 530 615 636 795 820 1025 1060 1230 1325 1590 2050 2173 2460 2650 3041 3075 3180 3975 4100 4346 5300 6082 6150 6519 7950 8692 9123 10865 12164 12300 13038 15205 15900 18246 21730 26076 30410 32595 36492 43460 45615 54325 60820 65190 76025 91230 108650 124681 130380 152050 161173 162975 182460 217300 228075 249362 304100 322346 325950 374043 456150 483519 498724 623405 644692 651900 748086 805865 912300 967038 1246810 1496172 1611730 1870215 1934076 2417595 2493620 3117025 3223460 3740430 4029325 4835190 6234050 6608093 7480860 8058650 9351075 9670380 12087975 12468100 13216186 16117300 18702150 19824279 24175950 26432372 33040465 37404300 39648558 48351900 66080930 79297116 99121395 132161860 165202325 198242790 330404650 396485580 495606975 660809300 991213950 1982427900