Search a number
-
+
48400164040 = 2351210004101
BaseRepresentation
bin101101000100110111…
…111110010011001000
311121221002110002021011
4231010313332103020
51243110420222130
634122411253304
73332254414654
oct550467762310
9147832402234
1048400164040
11195876a3678
12946914a234
134744493827
1424b207da64
1513d41c952a
hexb44dfe4c8

48400164040 has 16 divisors (see below), whose sum is σ = 108900369180. Its totient is φ = 19360065600.

The previous prime is 48400164037. The next prime is 48400164047. The reversal of 48400164040 is 4046100484.

It can be written as a sum of positive squares in 2 ways, for example, as 41003820036 + 7396344004 = 202494^2 + 86002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48400163993 and 48400164011.

It is not an unprimeable number, because it can be changed into a prime (48400164047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 605002011 + ... + 605002090.

Almost surely, 248400164040 is an apocalyptic number.

48400164040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48400164040 is an abundant number, since it is smaller than the sum of its proper divisors (60500205140).

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

48400164040 is a wasteful number, since it uses less digits than its factorization.

48400164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210004112 (or 1210004108 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 48400164040 in words is "forty-eight billion, four hundred million, one hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1210004101 2420008202 4840016404 6050020505 9680032808 12100041010 24200082020 48400164040