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30483936 = 2532715121
BaseRepresentation
bin111010001001…
…0010111100000
32010100202002200
41310102113200
530300441221
63005213200
7520052310
oct164222740
963322080
1030483936
111623103a
12a261200
136414342
144097440
152a22426
hex1d125e0

30483936 has 72 divisors (see below), whose sum is σ = 99079344. Its totient is φ = 8709120.

The previous prime is 30483931. The next prime is 30483989. The reversal of 30483936 is 63938403.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30483936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30483931) 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, 5545 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (1376102).

Almost surely, 230483936 is an apocalyptic number.

30483936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30483936 is an abundant number, since it is smaller than the sum of its proper divisors (68595408).

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

30483936 is a wasteful number, since it uses less digits than its factorization.

30483936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15144 (or 15133 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30483936 is about 5521.2259508193. The cubic root of 30483936 is about 312.3851259912.

The spelling of 30483936 in words is "thirty million, four hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 15121 30242 45363 60484 90726 105847 120968 136089 181452 211694 241936 272178 317541 362904 423388 483872 544356 635082 725808 846776 952623 1088712 1270164 1451616 1693552 1905246 2177424 2540328 3387104 3810492 4354848 5080656 7620984 10161312 15241968 30483936