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48071961 = 35759479
BaseRepresentation
bin1011011101100…
…0010100011001
310100110022100000
42313120110121
544301300321
64434203213
71122414330
oct267302431
9110408300
1048071961
11251541a3
1214123509
139c61962
146554d17
154348826
hex2dd8519

48071961 has 48 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 26947728.

The previous prime is 48071953. The next prime is 48071963. The reversal of 48071961 is 16917084.

48071961 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 48071961 - 23 = 48071953 is a prime.

It is a super-3 number, since 3×480719613 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48071963) 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 47 ways as a sum of consecutive naturals, for example, 100120 + ... + 100598.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 248071961 is an apocalyptic number.

It is an amenable number.

48071961 is a deficient number, since it is larger than the sum of its proper divisors (35793639).

48071961 is an equidigital number, since it uses as much as digits as its factorization.

48071961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 48071961 is about 6933.3946231265. The cubic root of 48071961 is about 363.6056415162.

The spelling of 48071961 in words is "forty-eight million, seventy-one thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 27 59 63 81 177 189 243 413 479 531 567 1239 1437 1593 1701 3353 3717 4311 4779 10059 11151 12933 14337 28261 30177 33453 38799 84783 90531 100359 116397 197827 254349 271593 593481 763047 814779 1780443 2289141 5341329 6867423 16023987 48071961