Search a number
-
+
30545632 = 2513101727
BaseRepresentation
bin111010010000…
…1011011100000
32010110212201201
41310201123200
530304430012
63010410544
7520430215
oct164413340
963425651
1030545632
1116273427
12a290a54
136436450
1440b1b0c
152a35857
hex1d216e0

30545632 has 48 divisors (see below), whose sum is σ = 65493792. Its totient is φ = 13939200.

The previous prime is 30545569. The next prime is 30545677. The reversal of 30545632 is 23654503.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30545632.

It is a congruent number.

It is an unprimeable number.

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, 41653 + ... + 42379.

It is an arithmetic number, because the mean of its divisors is an integer number (1364454).

Almost surely, 230545632 is an apocalyptic number.

30545632 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 30545632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32746896).

30545632 is an abundant number, since it is smaller than the sum of its proper divisors (34948160).

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

30545632 is a wasteful number, since it uses less digits than its factorization.

30545632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 30545632 is about 5526.8102916601. The cubic root of 30545632 is about 312.5957278994.

The spelling of 30545632 in words is "thirty million, five hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 727 808 1313 1454 1616 2626 2908 3232 5252 5816 9451 10504 11632 18902 21008 23264 37804 42016 73427 75608 146854 151216 293708 302432 587416 954551 1174832 1909102 2349664 3818204 7636408 15272816 30545632