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30775776 = 2531132837
BaseRepresentation
bin111010101100…
…1100111100000
32010220120102120
41311121213200
530334311101
63015344240
7522406203
oct165314740
963816376
1030775776
1116410329
12a382080
1364b7125
14413193a
152a7db36
hex1d599e0

30775776 has 48 divisors (see below), whose sum is σ = 81530064. Its totient is φ = 10164224.

The previous prime is 30775753. The next prime is 30775879. The reversal of 30775776 is 67757703.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 9430 + ... + 12266.

It is an arithmetic number, because the mean of its divisors is an integer number (1698543).

Almost surely, 230775776 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 30775776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40765032).

30775776 is an abundant number, since it is smaller than the sum of its proper divisors (50754288).

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

30775776 is a wasteful number, since it uses less digits than its factorization.

30775776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 42.

The square root of 30775776 is about 5547.5919100092. The cubic root of 30775776 is about 313.3788415366.

The spelling of 30775776 in words is "thirty million, seven hundred seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 2837 3616 5424 5674 8511 10848 11348 17022 22696 34044 45392 68088 90784 136176 272352 320581 641162 961743 1282324 1923486 2564648 3846972 5129296 7693944 10258592 15387888 30775776