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488520765 = 32513779241
BaseRepresentation
bin11101000111100…
…011110000111101
31021001020102111200
4131013203300331
52000030131030
6120250410113
715051233535
oct3507436075
91231212450
10488520765
11230836977
12117730939
137a296155
1448c484c5
152cd4bd60
hex1d1e3c3d

488520765 has 24 divisors (see below), whose sum is σ = 852960888. Its totient is φ = 258639360.

The previous prime is 488520727. The next prime is 488520779. The reversal of 488520765 is 567025884.

It can be written as a sum of positive squares in 4 ways, for example, as 181360089 + 307160676 = 13467^2 + 17526^2 .

It is not a de Polignac number, because 488520765 - 26 = 488520701 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 488520765.

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 23 ways as a sum of consecutive naturals, for example, 33456 + ... + 45785.

It is an arithmetic number, because the mean of its divisors is an integer number (35540037).

Almost surely, 2488520765 is an apocalyptic number.

488520765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

488520765 is a deficient number, since it is larger than the sum of its proper divisors (364440123).

488520765 is a wasteful number, since it uses less digits than its factorization.

488520765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79389 (or 79386 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 488520765 is about 22102.5058534095. The cubic root of 488520765 is about 787.5793903333.

The spelling of 488520765 in words is "four hundred eighty-eight million, five hundred twenty thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 137 411 685 1233 2055 6165 79241 237723 396205 713169 1188615 3565845 10856017 32568051 54280085 97704153 162840255 488520765