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30875904 = 28341489
BaseRepresentation
bin111010111001…
…0000100000000
32011002122210000
41311302010000
530401012104
63021440000
7523304133
oct165620400
964078700
1030875904
1116479584
12a410000
136520887
14415a21a
152a9d639
hex1d72100

30875904 has 90 divisors (see below), whose sum is σ = 92128190. Its totient is φ = 10285056.

The previous prime is 30875903. The next prime is 30875909. The reversal of 30875904 is 40957803.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 8294400 = 4752^2 + 2880^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (30875903) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19992 + ... + 21480.

Almost surely, 230875904 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 30875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46064095).

30875904 is an abundant number, since it is smaller than the sum of its proper divisors (61252286).

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

30875904 is an equidigital number, since it uses as much as digits as its factorization.

30875904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1494 counting only the distinct ones).

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

The square root of 30875904 is about 5556.6090378935. The cubic root of 30875904 is about 313.7183296340.

The spelling of 30875904 in words is "thirty million, eight hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1489 1728 2304 2592 2978 3456 4467 5184 5956 6912 8934 10368 11912 13401 17868 20736 23824 26802 35736 40203 47648 53604 71472 80406 95296 107208 120609 142944 160812 190592 214416 241218 285888 321624 381184 428832 482436 571776 643248 857664 964872 1143552 1286496 1715328 1929744 2572992 3430656 3859488 5145984 7718976 10291968 15437952 30875904