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769088 = 2661197
BaseRepresentation
bin10111011110001000000
31110001222202
42323301000
5144102323
624252332
76352145
oct2736100
91401882
10769088
11485911
123110a8
1320c0a8
141603cc
15102d28
hexbbc40

769088 has 28 divisors (see below), whose sum is σ = 1559052. Its totient is φ = 376320.

The previous prime is 769081. The next prime is 769091. The reversal of 769088 is 880967.

It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 369664 = 632^2 + 608^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 769088.

It is not an unprimeable number, because it can be changed into a prime (769081) by changing a digit.

769088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3806 + ... + 4002.

2769088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779526).

769088 is an abundant number, since it is smaller than the sum of its proper divisors (789964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

769088 is a wasteful number, since it uses less digits than its factorization.

769088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 769088 is about 876.9766245459. The cubic root of 769088 is about 91.6203637595.

The spelling of 769088 in words is "seven hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 197 244 394 488 788 976 1576 1952 3152 3904 6304 12017 12608 24034 48068 96136 192272 384544 769088