Search a number
-
+
30879504 = 2432434987
BaseRepresentation
bin111010111001…
…0111100010000
32011002211201100
41311302330100
530401121004
63021504400
7523320465
oct165627420
964084640
1030879504
1116481257
12a412100
1365223c6
14415b66c
152a9e739
hex1d72f10

30879504 has 60 divisors (see below), whose sum is σ = 88447216. Its totient is φ = 10051776.

The previous prime is 30879487. The next prime is 30879509. The reversal of 30879504 is 40597803.

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

It is not an unprimeable number, because it can be changed into a prime (30879509) 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 11 ways as a sum of consecutive naturals, for example, 3699 + ... + 8685.

Almost surely, 230879504 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 30879504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44223608).

30879504 is an abundant number, since it is smaller than the sum of its proper divisors (57567712).

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

30879504 is a wasteful number, since it uses less digits than its factorization.

30879504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 30879504 is about 5556.9329670242. The cubic root of 30879504 is about 313.7305219042.

The spelling of 30879504 in words is "thirty million, eight hundred seventy-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 4987 6192 9974 14961 19948 29922 39896 44883 59844 79792 89766 119688 179532 214441 239376 359064 428882 643323 718128 857764 1286646 1715528 1929969 2573292 3431056 3859938 5146584 7719876 10293168 15439752 30879504