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48532393 = 7213611249
BaseRepresentation
bin1011100100100…
…0101110101001
310101022200221001
42321020232221
544411014033
64452115001
71126342600
oct271105651
9111280831
1048532393
1125439118
1214305a61
13a0933c0
146634a37
1543d9e7d
hex2e48ba9

48532393 has 24 divisors (see below), whose sum is σ = 61845000. Its totient is φ = 37739520.

The previous prime is 48532361. The next prime is 48532411. The reversal of 48532393 is 39323584.

48532393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1087849 + 47444544 = 1043^2 + 6888^2 .

It is not a de Polignac number, because 48532393 - 25 = 48532361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48532313) 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 23 ways as a sum of consecutive naturals, for example, 38233 + ... + 39481.

It is an arithmetic number, because the mean of its divisors is an integer number (2576875).

Almost surely, 248532393 is an apocalyptic number.

It is an amenable number.

48532393 is a deficient number, since it is larger than the sum of its proper divisors (13312607).

48532393 is a wasteful number, since it uses less digits than its factorization.

48532393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 48532393 is about 6966.5194322560. The cubic root of 48532393 is about 364.7628233354.

The spelling of 48532393 in words is "forty-eight million, five hundred thirty-two thousand, three hundred ninety-three".

Divisors: 1 7 13 49 61 91 427 637 793 1249 2989 5551 8743 16237 38857 61201 76189 113659 533323 795613 990457 3733261 6933199 48532393