[go: up one dir, main page]

Search a number
-
+
30889512 = 233473653
BaseRepresentation
bin111010111010…
…1011000101000
32011010100110000
41311311120220
530401431022
63022023000
7523361613
oct165653050
964110400
1030889512
1116488825
12a417a60
136526b24
14416117a
152aa26ac
hex1d75628

30889512 has 80 divisors (see below), whose sum is σ = 87838740. Its totient is φ = 10139904.

The previous prime is 30889511. The next prime is 30889531. The reversal of 30889512 is 21598803.

It can be written as a sum of positive squares in 2 ways, for example, as 30536676 + 352836 = 5526^2 + 594^2 .

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 (30889511) 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 19 ways as a sum of consecutive naturals, for example, 46978 + ... + 47630.

Almost surely, 230889512 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 30889512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43919370).

30889512 is an abundant number, since it is smaller than the sum of its proper divisors (56949228).

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

30889512 is a wasteful number, since it uses less digits than its factorization.

30889512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 30889512 is about 5557.8333908098. The cubic root of 30889512 is about 313.7644114373.

The spelling of 30889512 in words is "thirty million, eight hundred eighty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 292 324 438 584 648 653 657 876 1306 1314 1752 1959 1971 2612 2628 3918 3942 5224 5256 5877 5913 7836 7884 11754 11826 15672 15768 17631 23508 23652 35262 47016 47304 47669 52893 70524 95338 105786 141048 143007 190676 211572 286014 381352 423144 429021 572028 858042 1144056 1287063 1716084 2574126 3432168 3861189 5148252 7722378 10296504 15444756 30889512