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48105343 = 11132113229
BaseRepresentation
bin1011011110000…
…0011101111111
310100112000010101
42313200131333
544303332333
64435021531
71122613546
oct267403577
9110460111
1048105343
1125177290
121413a8a7
139c73c00
14656315d
15435367d
hex2de077f

48105343 has 24 divisors (see below), whose sum is σ = 57579120. Its totient is φ = 39836160.

The previous prime is 48105329. The next prime is 48105371. The reversal of 48105343 is 34350184.

It is not a de Polignac number, because 48105343 - 25 = 48105311 is a prime.

It is a super-3 number, since 3×481053433 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48105313) 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 23 ways as a sum of consecutive naturals, for example, 209953 + ... + 210181.

It is an arithmetic number, because the mean of its divisors is an integer number (2399130).

Almost surely, 248105343 is an apocalyptic number.

48105343 is a deficient number, since it is larger than the sum of its proper divisors (9473777).

48105343 is a wasteful number, since it uses less digits than its factorization.

48105343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 48105343 is about 6935.8015398366. The cubic root of 48105343 is about 363.6897867211.

It can be divided in two parts, 4810 and 5343, that added together give a triangular number (10153 = T142).

The spelling of 48105343 in words is "forty-eight million, one hundred five thousand, three hundred forty-three".

Divisors: 1 11 13 113 143 169 229 1243 1469 1859 2519 2977 16159 19097 25877 32747 38701 210067 284647 336401 425711 3700411 4373213 48105343