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48101319 = 327763513
BaseRepresentation
bin1011011101111…
…1011111000111
310100111210121100
42313133133013
544303220234
64434551143
71122566040
oct267373707
9110453540
1048101319
1125174262
12141384b3
139c72126
1465618c7
154352399
hex2ddf7c7

48101319 has 12 divisors (see below), whose sum is σ = 79405456. Its totient is φ = 27486432.

The previous prime is 48101297. The next prime is 48101357. The reversal of 48101319 is 91310184.

It is not a de Polignac number, because 48101319 - 28 = 48101063 is a prime.

It is a super-3 number, since 3×481013193 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48101292 and 48101301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48101359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381694 + ... + 381819.

Almost surely, 248101319 is an apocalyptic number.

48101319 is a deficient number, since it is larger than the sum of its proper divisors (31304137).

48101319 is a wasteful number, since it uses less digits than its factorization.

48101319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763526 (or 763523 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 48101319 is about 6935.5114447314. The cubic root of 48101319 is about 363.6796455849.

The spelling of 48101319 in words is "forty-eight million, one hundred one thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 63 763513 2290539 5344591 6871617 16033773 48101319