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48075765 = 3529237103
BaseRepresentation
bin1011011101100…
…1001111110101
310100110111112220
42313121033311
544301411030
64434232553
71122431403
oct267311765
9110414486
1048075765
1125157041
1214125759
139c635ca
146556473
154349a10
hex2dd93f5

48075765 has 48 divisors (see below), whose sum is σ = 82612608. Its totient is φ = 23853312.

The previous prime is 48075749. The next prime is 48075799. The reversal of 48075765 is 56757084.

It is not a de Polignac number, because 48075765 - 24 = 48075749 is a prime.

It is a super-3 number, since 3×480757653 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466704 + ... + 466806.

It is an arithmetic number, because the mean of its divisors is an integer number (1721096).

Almost surely, 248075765 is an apocalyptic number.

It is an amenable number.

48075765 is a deficient number, since it is larger than the sum of its proper divisors (34536843).

48075765 is a wasteful number, since it uses less digits than its factorization.

48075765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 48075765 is about 6933.6689421979. The cubic root of 48075765 is about 363.6152321338.

It can be divided in two parts, 480 and 75765, that added together give a triangular number (76245 = T390).

The spelling of 48075765 in words is "forty-eight million, seventy-five thousand, seven hundred sixty-five".

Divisors: 1 3 5 15 29 37 87 103 111 145 185 309 435 515 555 841 1073 1545 2523 2987 3219 3811 4205 5365 8961 11433 12615 14935 16095 19055 31117 44805 57165 86623 93351 110519 155585 259869 331557 433115 466755 552595 1299345 1657785 3205051 9615153 16025255 48075765