Search a number
-
+
48916384 = 2511138967
BaseRepresentation
bin1011101010011…
…0011110100000
310102001012122221
42322212132200
5100010311014
64504240424
71132532236
oct272463640
9112035587
1048916384
1125680670
1214470114
13a19910a
1466d4956
154463b24
hex2ea67a0

48916384 has 24 divisors (see below), whose sum is σ = 105059808. Its totient is φ = 22234560.

The previous prime is 48916381. The next prime is 48916391. The reversal of 48916384 is 48361984.

48916384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×489163843 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48916384.

It is not an unprimeable number, because it can be changed into a prime (48916381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69132 + ... + 69835.

It is an arithmetic number, because the mean of its divisors is an integer number (4377492).

Almost surely, 248916384 is an apocalyptic number.

48916384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48916384 is an abundant number, since it is smaller than the sum of its proper divisors (56143424).

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

48916384 is a wasteful number, since it uses less digits than its factorization.

48916384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138988 (or 138980 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 48916384 is about 6994.0248784230. The cubic root of 48916384 is about 365.7223052092.

The spelling of 48916384 in words is "forty-eight million, nine hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 138967 277934 555868 1111736 1528637 2223472 3057274 4446944 6114548 12229096 24458192 48916384