Search a number
-
+
2497000900 = 22521922632
BaseRepresentation
bin1001010011010101…
…0011010111000100
320110000112210021211
42110311103113010
520103213012100
61051435221204
7115610105002
oct22465232704
96400483254
102497000900
111071545809
125982a7804
1330a41c334
141998ada72
15e93371ba
hex94d535c4

2497000900 has 81 divisors (see below), whose sum is σ = 5740512141. Its totient is φ = 942634080.

The previous prime is 2497000897. The next prime is 2497000951. The reversal of 2497000900 is 90007942.

The square root of 2497000900 is 49970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 898920324 + 1598080576 = 29982^2 + 39976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9494169 + ... + 9494431.

Almost surely, 22497000900 is an apocalyptic number.

2497000900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2497000900 is the 49970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2497000900

2497000900 is an abundant number, since it is smaller than the sum of its proper divisors (3243511241).

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

2497000900 is a wasteful number, since it uses less digits than its factorization.

2497000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The cubic root of 2497000900 is about 1356.6658704713.

The spelling of 2497000900 in words is "two billion, four hundred ninety-seven million, nine hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 263 361 380 475 526 722 950 1052 1315 1444 1805 1900 2630 3610 4997 5260 6575 7220 9025 9994 13150 18050 19988 24985 26300 36100 49970 69169 94943 99940 124925 138338 189886 249850 276676 345845 379772 474715 499700 691690 949430 1314211 1383380 1729225 1898860 2373575 2628422 3458450 4747150 5256844 6571055 6916900 9494300 13142110 24970009 26284220 32855275 49940018 65710550 99880036 124850045 131421100 249700090 499400180 624250225 1248500450 2497000900