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30775872 = 263792029
BaseRepresentation
bin111010101100…
…1101001000000
32010220120120010
41311121221000
530334311442
63015344520
7522406401
oct165315100
963816503
1030775872
1116410406
12a382140
1364b719a
1441319a8
152a7db9c
hex1d59a40

30775872 has 56 divisors (see below), whose sum is σ = 82499200. Its totient is φ = 10123776.

The previous prime is 30775753. The next prime is 30775879. The reversal of 30775872 is 27857703.

It is a self number, because there is not a number n which added to its sum of digits gives 30775872.

It is not an unprimeable number, because it can be changed into a prime (30775879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14154 + ... + 16182.

It is an arithmetic number, because the mean of its divisors is an integer number (1473200).

Almost surely, 230775872 is an apocalyptic number.

30775872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41249600).

30775872 is an abundant number, since it is smaller than the sum of its proper divisors (51723328).

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

30775872 is a wasteful number, since it uses less digits than its factorization.

30775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 30775872 is about 5547.6005624053. The cubic root of 30775872 is about 313.3791673809.

The spelling of 30775872 in words is "thirty million, seven hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2029 2528 3792 4058 5056 6087 7584 8116 12174 15168 16232 24348 32464 48696 64928 97392 129856 160291 194784 320582 389568 480873 641164 961746 1282328 1923492 2564656 3846984 5129312 7693968 10258624 15387936 30775872