Search a number
-
+
2780052500 = 22541765413
BaseRepresentation
bin1010010110110100…
…0011110000010100
321011202011022002102
42211231003300110
521143143140000
61135510101232
7125615025221
oct24555036024
97152138072
102780052500
1111a72a3655
1265704a818
13353c649a4
141c5310948
151140e93d5
hexa5b43c14

2780052500 has 60 divisors (see below), whose sum is σ = 6437130084. Its totient is φ = 1046592000.

The previous prime is 2780052497. The next prime is 2780052511. The reversal of 2780052500 is 52500872.

It can be written as a sum of positive squares in 10 ways, for example, as 2087941636 + 692110864 = 45694^2 + 26308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9794 + ... + 75206.

Almost surely, 22780052500 is an apocalyptic number.

2780052500 is a gapful number since it is divisible by the number (20) 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 2780052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218565042).

2780052500 is an abundant number, since it is smaller than the sum of its proper divisors (3657077584).

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

2780052500 is a wasteful number, since it uses less digits than its factorization.

2780052500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65454 (or 65437 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 2780052500 is about 52726.2031631332. The cubic root of 2780052500 is about 1406.1047191478.

The spelling of 2780052500 in words is "two billion, seven hundred eighty million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 625 850 1250 1700 2125 2500 4250 8500 10625 21250 42500 65413 130826 261652 327065 654130 1112021 1308260 1635325 2224042 3270650 4448084 5560105 6541300 8176625 11120210 16353250 22240420 27800525 32706500 40883125 55601050 81766250 111202100 139002625 163532500 278005250 556010500 695013125 1390026250 2780052500