Search a number
-
+
1982491000 = 23537240459
BaseRepresentation
bin111011000101010…
…0110100101111000
312010011101222101121
41312022212211320
513030004203000
6524415355024
7100061616100
oct16612464570
95104358347
101982491000
11928078916
12473b22a74
132579569c9
1414b41c200
15b90a4b1a
hex762a6978

1982491000 has 96 divisors (see below), whose sum is σ = 5396554800. Its totient is φ = 679694400.

The previous prime is 1982490997. The next prime is 1982491001. The reversal of 1982491000 is 1942891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982491001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28771 + ... + 69229.

Almost surely, 21982491000 is an apocalyptic number.

1982491000 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 1982491000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698277400).

1982491000 is an abundant number, since it is smaller than the sum of its proper divisors (3414063800).

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

1982491000 is a wasteful number, since it uses less digits than its factorization.

1982491000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40494 (or 40473 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 1982491000 is about 44525.1726554766. The cubic root of 1982491000 is about 1256.2336086902.

The spelling of 1982491000 in words is "one billion, nine hundred eighty-two million, four hundred ninety-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 40459 49000 80918 161836 202295 283213 323672 404590 566426 809180 1011475 1132852 1416065 1618360 1982491 2022950 2265704 2832130 3964982 4045900 5057375 5664260 7080325 7929964 8091800 9912455 10114750 11328520 14160650 15859928 19824910 20229500 28321300 35401625 39649820 40459000 49562275 56642600 70803250 79299640 99124550 141606500 198249100 247811375 283213000 396498200 495622750 991245500 1982491000