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4381252700 = 225211332917
BaseRepresentation
bin1000001010010010…
…01001110001011100
3102022100002200211112
410011021021301130
532433100041300
62002425241152
7213400014326
oct40511116134
912270080745
104381252700
111949115000
12a233331b8
1354a8cab26
142d7c38616
151a9983e35
hex105249c5c

4381252700 has 72 divisors (see below), whose sum is σ = 10457653584. Its totient is φ = 1593134400.

The previous prime is 4381252669. The next prime is 4381252717. The reversal of 4381252700 is 72521834.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 116642 + ... + 149558.

Almost surely, 24381252700 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 4381252700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228826792).

4381252700 is an abundant number, since it is smaller than the sum of its proper divisors (6076400884).

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

4381252700 is a wasteful number, since it uses less digits than its factorization.

4381252700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32964 (or 32935 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 4381252700 is about 66191.0318698840. The cubic root of 4381252700 is about 1636.3119459635.

The spelling of 4381252700 in words is "four billion, three hundred eighty-one million, two hundred fifty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 12100 13310 26620 32917 33275 65834 66550 131668 133100 164585 329170 362087 658340 724174 822925 1448348 1645850 1810435 3291700 3620870 3982957 7241740 7965914 9052175 15931828 18104350 19914785 36208700 39829570 43812527 79659140 87625054 99573925 175250108 199147850 219062635 398295700 438125270 876250540 1095313175 2190626350 4381252700