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30882888 = 2332538093
BaseRepresentation
bin111010111001…
…1110001001000
32011010000100200
41311303301020
530401223023
63021532200
7523333401
oct165636110
964100320
1030882888
1116483853
12a414060
136523aca
14415c9a8
152aa0743
hex1d73c48

30882888 has 48 divisors (see below), whose sum is σ = 85229820. Its totient is φ = 10098816.

The previous prime is 30882877. The next prime is 30882893. The reversal of 30882888 is 88828803.

It can be written as a sum of positive squares in 2 ways, for example, as 30669444 + 213444 = 5538^2 + 462^2 .

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 11 ways as a sum of consecutive naturals, for example, 231 + ... + 7862.

Almost surely, 230882888 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 30882888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42614910).

30882888 is an abundant number, since it is smaller than the sum of its proper divisors (54346932).

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

30882888 is a wasteful number, since it uses less digits than its factorization.

30882888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 30882888 is about 5557.2374431906. The cubic root of 30882888 is about 313.7419817742.

The spelling of 30882888 in words is "thirty million, eight hundred eighty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 8093 16186 24279 32372 48558 64744 72837 97116 145674 194232 291348 428929 582696 857858 1286787 1715716 2573574 3431432 3860361 5147148 7720722 10294296 15441444 30882888