Search a number
-
+
48836801 = 13171371613
BaseRepresentation
bin1011101001001…
…1000011000001
310101220011111102
42322103003001
5100000234201
64502424145
71132051226
oct272230301
9111804442
1048836801
11256268a2
1214432055
13a16bb20
1466b394d
15444a26b
hex2e930c1

48836801 has 16 divisors (see below), whose sum is σ = 56128464. Its totient is φ = 42092544.

The previous prime is 48836759. The next prime is 48836813. The reversal of 48836801 is 10863884.

It can be written as a sum of positive squares in 8 ways, for example, as 172225 + 48664576 = 415^2 + 6976^2 .

It is not a de Polignac number, because 48836801 - 26 = 48836737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48833801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29471 + ... + 31083.

It is an arithmetic number, because the mean of its divisors is an integer number (3508029).

Almost surely, 248836801 is an apocalyptic number.

It is an amenable number.

48836801 is a deficient number, since it is larger than the sum of its proper divisors (7291663).

48836801 is a wasteful number, since it uses less digits than its factorization.

48836801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780.

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 48836801 is about 6988.3332061372. Note that the first 3 decimals coincide. The cubic root of 48836801 is about 365.5238640184.

The spelling of 48836801 in words is "forty-eight million, eight hundred thirty-six thousand, eight hundred one".

Divisors: 1 13 17 137 221 1613 1781 2329 20969 27421 30277 220981 356473 2872753 3756677 48836801