Search a number
-
+
2493746240 = 2657792957
BaseRepresentation
bin1001010010100011…
…1000110001000000
320102210102102201212
42110220320301000
520101344334430
61051241345252
7115540331126
oct22450706100
96383372655
102493746240
11106a722507
12597198228
1330984cabb
141992a3916
15e8de2b95
hex94a38c40

2493746240 has 28 divisors (see below), whose sum is σ = 5938233996. Its totient is φ = 997498368.

The previous prime is 2493746209. The next prime is 2493746293. The reversal of 2493746240 is 426473942.

It can be written as a sum of positive squares in 2 ways, for example, as 1440354304 + 1053391936 = 37952^2 + 32456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3896159 + ... + 3896798.

Almost surely, 22493746240 is an apocalyptic number.

2493746240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2493746240 is an abundant number, since it is smaller than the sum of its proper divisors (3444487756).

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

2493746240 is an equidigital number, since it uses as much as digits as its factorization.

2493746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792974 (or 7792964 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The square root of 2493746240 is about 49937.4232414929. The cubic root of 2493746240 is about 1356.0761755891.

The spelling of 2493746240 in words is "two billion, four hundred ninety-three million, seven hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7792957 15585914 31171828 38964785 62343656 77929570 124687312 155859140 249374624 311718280 498749248 623436560 1246873120 2493746240