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48958101 = 344911231
BaseRepresentation
bin1011101011000…
…0101010010101
310102010022220000
42322300222111
5100013124401
64505201513
71133064663
oct272605225
9112108800
1048958101
11256a9a45
1214490299
13a1b20ba
146705c33
154471186
hex2eb0a95

48958101 has 20 divisors (see below), whose sum is σ = 73343424. Its totient is φ = 32545800.

The previous prime is 48958097. The next prime is 48958103. The reversal of 48958101 is 10185984.

48958101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48958101 - 22 = 48958097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48958103) 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 19 ways as a sum of consecutive naturals, for example, 39156 + ... + 40386.

Almost surely, 248958101 is an apocalyptic number.

It is an amenable number.

48958101 is a deficient number, since it is larger than the sum of its proper divisors (24385323).

48958101 is a wasteful number, since it uses less digits than its factorization.

48958101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 48958101 is about 6997.0065742430. The cubic root of 48958101 is about 365.8262410898.

It can be divided in two parts, 4895 and 8101, that added together give a square (12996 = 1142).

The spelling of 48958101 in words is "forty-eight million, nine hundred fifty-eight thousand, one hundred one".

Divisors: 1 3 9 27 81 491 1231 1473 3693 4419 11079 13257 33237 39771 99711 604421 1813263 5439789 16319367 48958101