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30987288 = 2332479157
BaseRepresentation
bin111011000110…
…1010000011000
32011022022120100
41312031100120
530413043123
63024055400
7524246643
oct166152030
964268510
1030987288
1116545232
12a464560
13655c497
144188a5a
152ac1643
hex1d8d418

30987288 has 48 divisors (see below), whose sum is σ = 85718880. Its totient is φ = 10108224.

The previous prime is 30987263. The next prime is 30987289. The reversal of 30987288 is 88278903.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30987289) 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 11 ways as a sum of consecutive naturals, for example, 1195 + ... + 7962.

It is an arithmetic number, because the mean of its divisors is an integer number (1785810).

Almost surely, 230987288 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 30987288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42859440).

30987288 is an abundant number, since it is smaller than the sum of its proper divisors (54731592).

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

30987288 is a wasteful number, since it uses less digits than its factorization.

30987288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 30987288 is about 5566.6226744769. The cubic root of 30987288 is about 314.0951204106.

The spelling of 30987288 in words is "thirty million, nine hundred eighty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 9157 18314 27471 36628 54942 73256 82413 109884 164826 219768 329652 430379 659304 860758 1291137 1721516 2582274 3443032 3873411 5164548 7746822 10329096 15493644 30987288