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30827874 = 23711531259
BaseRepresentation
bin111010110011…
…0010101100010
32011000012220010
41311212111202
530342442444
63020425350
7523014120
oct165462542
964005803
1030827874
1116446490
12a3a8256
136504a5c
144146910
152a8e2b9
hex1d66562

30827874 has 64 divisors (see below), whose sum is σ = 78382080. Its totient is φ = 7849920.

The previous prime is 30827873. The next prime is 30827879. The reversal of 30827874 is 47872803.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (30827873) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23857 + ... + 25115.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 230827874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30827874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

30827874 is an abundant number, since it is smaller than the sum of its proper divisors (47554206).

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

30827874 is a wasteful number, since it uses less digits than its factorization.

30827874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 30827874 is about 5552.2854753696. The cubic root of 30827874 is about 313.5555736841. Note that the first 4 decimals are identical.

It can be divided in two parts, 308 and 27874, that added together give a palindrome (28182).

The spelling of 30827874 in words is "thirty million, eight hundred twenty-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 462 583 742 1113 1166 1259 1749 2226 2518 3498 3777 4081 7554 8162 8813 12243 13849 17626 24486 26439 27698 41547 52878 66727 83094 96943 133454 193886 200181 290829 400362 467089 581658 733997 934178 1401267 1467994 2201991 2802534 4403982 5137979 10275958 15413937 30827874