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770388032 = 2641614813
BaseRepresentation
bin101101111010110…
…011000001000000
31222200121202201002
4231322303001000
53034204404112
6204240031132
725043122151
oct5572630100
91880552632
10770388032
11365955a27
121960024a8
13c37b570b
147445b928
15479781c2
hex2deb3040

770388032 has 56 divisors (see below), whose sum is σ = 1592028312. Its totient is φ = 369561600.

The previous prime is 770388029. The next prime is 770388067. The reversal of 770388032 is 230883077.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 767511616 = 1696^2 + 27704^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 157658 + ... + 162470.

It is an arithmetic number, because the mean of its divisors is an integer number (28429077).

Almost surely, 2770388032 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 770388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796014156).

770388032 is an abundant number, since it is smaller than the sum of its proper divisors (821640280).

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

770388032 is a wasteful number, since it uses less digits than its factorization.

770388032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 770388032 is about 27755.8648216913. The cubic root of 770388032 is about 916.7195835604.

The spelling of 770388032 in words is "seven hundred seventy million, three hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 164 244 328 488 656 976 1312 1952 2501 2624 3904 4813 5002 9626 10004 19252 20008 38504 40016 77008 80032 154016 160064 197333 293593 308032 394666 587186 789332 1174372 1578664 2348744 3157328 4697488 6314656 9394976 12037313 12629312 18789952 24074626 48149252 96298504 192597008 385194016 770388032