Search a number
-
+
48648204040 = 23511310762877
BaseRepresentation
bin101101010011101010…
…001010111100001000
311122120101011211011211
4231103222022330020
51244112420012130
634203151502504
73341355624442
oct552352127410
9148511154154
1048648204040
11196a4708807
129518227a34
13478399b067
1424d6da9492
1513ead72a2a
hexb53a8af08

48648204040 has 32 divisors (see below), whose sum is σ = 110427128280. Its totient is φ = 19287073792.

The previous prime is 48648204019. The next prime is 48648204041. The reversal of 48648204040 is 4040284684.

It can be written as a sum of positive squares in 4 ways, for example, as 10828067364 + 37820136676 = 104058^2 + 194474^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 48648203984 and 48648204002.

It is not an unprimeable number, because it can be changed into a prime (48648204041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5376919 + ... + 5385958.

Almost surely, 248648204040 is an apocalyptic number.

48648204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48648204040 is an abundant number, since it is smaller than the sum of its proper divisors (61778924240).

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

48648204040 is a wasteful number, since it uses less digits than its factorization.

48648204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763001 (or 10762997 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 48648204040 in words is "forty-eight billion, six hundred forty-eight million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 10762877 21525754 43051508 53814385 86103016 107628770 215257540 430515080 1216205101 2432410202 4864820404 6081025505 9729640808 12162051010 24324102020 48648204040