Search a number
-
+
48378640 = 245604733
BaseRepresentation
bin1011100010001…
…1001100010000
310101000220000111
42320203030100
544341104030
64444531104
71125132412
oct270431420
9111026014
1048378640
1125343652
1214250a94
13a03b41b
1465d49b2
1543a962a
hex2e23310

48378640 has 20 divisors (see below), whose sum is σ = 112480524. Its totient is φ = 19351424.

The previous prime is 48378607. The next prime is 48378667. The reversal of 48378640 is 4687384.

It can be written as a sum of positive squares in 2 ways, for example, as 28558336 + 19820304 = 5344^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 = 48378593 and 48378602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302287 + ... + 302446.

Almost surely, 248378640 is an apocalyptic number.

48378640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48378640 is an abundant number, since it is smaller than the sum of its proper divisors (64101884).

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

48378640 is a wasteful number, since it uses less digits than its factorization.

48378640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604746 (or 604740 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 48378640 is about 6955.4755408958. The cubic root of 48378640 is about 364.3772203437.

The spelling of 48378640 in words is "forty-eight million, three hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 604733 1209466 2418932 3023665 4837864 6047330 9675728 12094660 24189320 48378640