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4250234000 = 24534494733
BaseRepresentation
bin1111110101010101…
…0110110010010000
3101222012120020222002
43331111112302100
532201024442000
61541425133132
7210216251525
oct37525266220
911865506862
104250234000
111891167791
129a748a1a8
1352971677c
142c469114c
1519d2038d5
hexfd556c90

4250234000 has 80 divisors (see below), whose sum is σ = 10302130800. Its totient is φ = 1695948800.

The previous prime is 4250233957. The next prime is 4250234003. The reversal of 4250234000 is 4320524.

It can be written as a sum of positive squares in 8 ways, for example, as 1867622656 + 2382611344 = 43216^2 + 48812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (4250234003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895634 + ... + 900366.

It is an arithmetic number, because the mean of its divisors is an integer number (128776635).

Almost surely, 24250234000 is an apocalyptic number.

4250234000 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 4250234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151065400).

4250234000 is an abundant number, since it is smaller than the sum of its proper divisors (6051896800).

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

4250234000 is a wasteful number, since it uses less digits than its factorization.

4250234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4250234000 is about 65193.8187253976. The cubic root of 4250234000 is about 1619.8356282956.

Adding to 4250234000 its reverse (4320524), we get a palindrome (4254554524).

The spelling of 4250234000 in words is "four billion, two hundred fifty million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 449 500 898 1000 1796 2000 2245 3592 4490 4733 7184 8980 9466 11225 17960 18932 22450 23665 35920 37864 44900 47330 56125 75728 89800 94660 112250 118325 179600 189320 224500 236650 378640 449000 473300 591625 898000 946600 1183250 1893200 2125117 2366500 4250234 4733000 8500468 9466000 10625585 17000936 21251170 34001872 42502340 53127925 85004680 106255850 170009360 212511700 265639625 425023400 531279250 850046800 1062558500 2125117000 4250234000