Search a number
-
+
4523213000 = 235337432843
BaseRepresentation
bin1000011011001101…
…01100000011001000
3102200020020000202102
410031212230003020
533230420304000
62024500052532
7220042450625
oct41546540310
912606200672
104523213000
111a11265969
12a62994148
135711434c7
1430ca2d34c
151b71763d5
hex10d9ac0c8

4523213000 has 128 divisors (see below), whose sum is σ = 11127093120. Its totient is φ = 1718841600.

The previous prime is 4523212997. The next prime is 4523213089. The reversal of 4523213000 is 3123254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 1589579 + ... + 1592421.

It is an arithmetic number, because the mean of its divisors is an integer number (86930415).

Almost surely, 24523213000 is an apocalyptic number.

4523213000 is a gapful number since it is divisible by the number (40) 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 4523213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563546560).

4523213000 is an abundant number, since it is smaller than the sum of its proper divisors (6603880120).

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

4523213000 is a wasteful number, since it uses less digits than its factorization.

4523213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4523213000 is about 67254.8362573280. The cubic root of 4523213000 is about 1653.7975585006.

Adding to 4523213000 its reverse (3123254), we get a palindrome (4526336254).

The spelling of 4523213000 in words is "four billion, five hundred twenty-three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 43 50 74 86 100 125 148 172 185 200 215 250 296 344 370 430 500 740 860 925 1000 1075 1480 1591 1720 1850 2150 2843 3182 3700 4300 4625 5375 5686 6364 7400 7955 8600 9250 10750 11372 12728 14215 15910 18500 21500 22744 28430 31820 37000 39775 43000 56860 63640 71075 79550 105191 113720 122249 142150 159100 198875 210382 244498 284300 318200 355375 397750 420764 488996 525955 568600 611245 710750 795500 841528 977992 1051910 1222490 1421500 1591000 2103820 2444980 2629775 2843000 3056225 4207640 4523213 4889960 5259550 6112450 9046426 10519100 12224900 13148875 15281125 18092852 21038200 22616065 24449800 26297750 30562250 36185704 45232130 52595500 61124500 90464260 105191000 113080325 122249000 180928520 226160650 452321300 565401625 904642600 1130803250 2261606500 4523213000