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30189792 = 253476691
BaseRepresentation
bin111001100101…
…0100011100000
32002210210121110
41303022203200
530212033132
62555023320
7514415613
oct163124340
962723543
1030189792
1116050046
12a13ab40
1363404a9
14401c17a
1529b51cc
hex1cca8e0

30189792 has 48 divisors (see below), whose sum is σ = 80946432. Its totient is φ = 9847680.

The previous prime is 30189791. The next prime is 30189811. The reversal of 30189792 is 29798103.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×301897922 = 1822847082006528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30189792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30189791) 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 7 ways as a sum of consecutive naturals, for example, 1167 + ... + 7857.

It is an arithmetic number, because the mean of its divisors is an integer number (1686384).

Almost surely, 230189792 is an apocalyptic number.

30189792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30189792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40473216).

30189792 is an abundant number, since it is smaller than the sum of its proper divisors (50756640).

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

30189792 is a wasteful number, since it uses less digits than its factorization.

30189792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 30189792 is about 5494.5238192222. The cubic root of 30189792 is about 311.3771268245.

The spelling of 30189792 in words is "thirty million, one hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 6691 13382 20073 26764 40146 53528 80292 107056 160584 214112 314477 321168 628954 642336 943431 1257908 1886862 2515816 3773724 5031632 7547448 10063264 15094896 30189792