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48956814 = 2322993787
BaseRepresentation
bin1011101011000…
…0010110001110
310102010021010100
42322300112032
5100013104224
64505151530
71133061144
oct272602616
9112107110
1048956814
11256a8a85
121448b5a6
13a1b163a
146705594
154470ac9
hex2eb058e

48956814 has 24 divisors (see below), whose sum is σ = 109731960. Its totient is φ = 15756048.

The previous prime is 48956801. The next prime is 48956819. The reversal of 48956814 is 41865984.

48956814 is a `hidden beast` number, since 4 + 89 + 568 + 1 + 4 = 666.

48956814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48956814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48956819) 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 11 ways as a sum of consecutive naturals, for example, 46372 + ... + 47415.

It is an arithmetic number, because the mean of its divisors is an integer number (4572165).

Almost surely, 248956814 is an apocalyptic number.

48956814 is an abundant number, since it is smaller than the sum of its proper divisors (60775146).

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

48956814 is a wasteful number, since it uses less digits than its factorization.

48956814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93824 (or 93821 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 48956814 is about 6996.9146057387. The cubic root of 48956814 is about 365.8230354746.

Adding to 48956814 its product of digits (276480), we get a palindrome (49233294).

It can be divided in two parts, 48956 and 814, that added together give a triangular number (49770 = T315).

The spelling of 48956814 in words is "forty-eight million, nine hundred fifty-six thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 93787 187574 281361 562722 844083 1688166 2719823 5439646 8159469 16318938 24478407 48956814