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769289088 = 2732837079
BaseRepresentation
bin101101110110100…
…110101110000000
31222121112221020110
4231312212232000
53033414222323
6204200311320
725030564221
oct5566465600
91877487213
10769289088
11365275307
12195772540
13c34bc459
1474253248
154780c793
hex2dda6b80

769289088 has 64 divisors (see below), whose sum is σ = 2050934400. Its totient is φ = 255487488.

The previous prime is 769289051. The next prime is 769289093. The reversal of 769289088 is 880982967.

769289088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105133 + ... + 112211.

It is an arithmetic number, because the mean of its divisors is an integer number (32045850).

Almost surely, 2769289088 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 769289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025467200).

769289088 is an abundant number, since it is smaller than the sum of its proper divisors (1281645312).

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

769289088 is a wasteful number, since it uses less digits than its factorization.

769289088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 769289088 is about 27736.0611478991. The cubic root of 769289088 is about 916.2834817314.

The spelling of 769289088 in words is "seven hundred sixty-nine million, two hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 283 384 566 849 1132 1698 2264 3396 4528 6792 7079 9056 13584 14158 18112 21237 27168 28316 36224 42474 54336 56632 84948 108672 113264 169896 226528 339792 453056 679584 906112 1359168 2003357 2718336 4006714 6010071 8013428 12020142 16026856 24040284 32053712 48080568 64107424 96161136 128214848 192322272 256429696 384644544 769289088