Search a number
-
+
30288512 = 27435503
BaseRepresentation
bin111001110001…
…0101010000000
32002222211000202
41303202222000
530223213022
63001104332
7515306462
oct163425200
962884022
1030288512
1116108231
12a1880a8
1363763c7
144046132
1529d4592
hex1ce2a80

30288512 has 32 divisors (see below), whose sum is σ = 61754880. Its totient is φ = 14789376.

The previous prime is 30288487. The next prime is 30288523. The reversal of 30288512 is 21588203.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2753 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (1929840).

Almost surely, 230288512 is an apocalyptic number.

30288512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 5503×5504.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30877440).

30288512 is an abundant number, since it is smaller than the sum of its proper divisors (31466368).

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

30288512 is an equidigital number, since it uses as much as digits as its factorization.

30288512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 30288512 is about 5503.4999772872. The cubic root of 30288512 is about 311.7161564898.

The spelling of 30288512 in words is "thirty million, two hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5503 5504 11006 22012 44024 88048 176096 236629 352192 473258 704384 946516 1893032 3786064 7572128 15144256 30288512