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30575216 = 247259661
BaseRepresentation
bin111010010100…
…0101001110000
32010112101022102
41310220221300
530311401331
63011155532
7520612400
oct164505160
963471272
1030575216
1116293681
12a2a5ba8
136446a59
1440bc800
152a3e4cb
hex1d28a70

30575216 has 60 divisors (see below), whose sum is σ = 70185240. Its totient is φ = 12862080.

The previous prime is 30575191. The next prime is 30575219. The reversal of 30575216 is 61257503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30575219) 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, 45926 + ... + 46586.

It is an arithmetic number, because the mean of its divisors is an integer number (1169754).

Almost surely, 230575216 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 30575216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35092620).

30575216 is an abundant number, since it is smaller than the sum of its proper divisors (39610024).

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

30575216 is a wasteful number, since it uses less digits than its factorization.

30575216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 30575216 is about 5529.4860520667. The cubic root of 30575216 is about 312.6966135520.

The spelling of 30575216 in words is "thirty million, five hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 661 784 826 944 1322 1652 2644 2891 3304 4627 5288 5782 6608 9254 10576 11564 18508 23128 32389 37016 38999 46256 64778 74032 77998 129556 155996 259112 272993 311992 518224 545986 623984 1091972 1910951 2183944 3821902 4367888 7643804 15287608 30575216