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30918048 = 2537139331
BaseRepresentation
bin111010111110…
…0010110100000
32011011210120220
41311330112200
530403334143
63022403040
7523541040
oct165742640
964153526
1030918048
11164a8207
12a430480
136536b05
14416b720
152aaad83
hex1d7c5a0

30918048 has 96 divisors (see below), whose sum is σ = 93703680. Its totient is φ = 8743680.

The previous prime is 30918037. The next prime is 30918061. The reversal of 30918048 is 84081903.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 93243 + ... + 93573.

It is an arithmetic number, because the mean of its divisors is an integer number (976080).

Almost surely, 230918048 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 30918048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46851840).

30918048 is an abundant number, since it is smaller than the sum of its proper divisors (62785632).

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

30918048 is a wasteful number, since it uses less digits than its factorization.

30918048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 30918048 is about 5560.3999856125. The cubic root of 30918048 is about 313.8610011312.

The spelling of 30918048 in words is "thirty million, nine hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 331 336 417 556 662 672 834 973 993 1112 1324 1668 1946 1986 2224 2317 2648 2919 3336 3892 3972 4448 4634 5296 5838 6672 6951 7784 7944 9268 10592 11676 13344 13902 15568 15888 18536 23352 27804 31136 31776 37072 46009 46704 55608 74144 92018 93408 111216 138027 184036 222432 276054 322063 368072 552108 644126 736144 966189 1104216 1288252 1472288 1932378 2208432 2576504 3864756 4416864 5153008 7729512 10306016 15459024 30918048