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4332125000 = 235674951
BaseRepresentation
bin1000000100011011…
…01111101101001000
3102011220122202022002
410002031233231020
532333011000000
61553512250132
7212232312020
oct40215575510
912156582262
104332125000
11192340a6a5
12a0a9a0948
13540689798
142d14caa80
151a54cc8d5
hex10236fb48

4332125000 has 112 divisors (see below), whose sum is σ = 11606101440. Its totient is φ = 1485000000.

The previous prime is 4332124987. The next prime is 4332125029. The reversal of 4332125000 is 5212334.

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 872525 + ... + 877475.

Almost surely, 24332125000 is an apocalyptic number.

4332125000 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 4332125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803050720).

4332125000 is an abundant number, since it is smaller than the sum of its proper divisors (7273976440).

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

4332125000 is an frugal number, since it uses more digits than its factorization.

4332125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4965 counting only the distinct ones).

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

The square root of 4332125000 is about 65818.8802700259. The cubic root of 4332125000 is about 1630.1728648513.

Adding to 4332125000 its reverse (5212334), we get a palindrome (4337337334).

The spelling of 4332125000 in words is "four billion, three hundred thirty-two million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3125 3500 4375 4951 5000 6250 7000 8750 9902 12500 15625 17500 19804 21875 24755 25000 31250 34657 35000 39608 43750 49510 62500 69314 87500 99020 109375 123775 125000 138628 173285 175000 198040 218750 247550 277256 346570 437500 495100 618875 693140 866425 875000 990200 1237750 1386280 1732850 2475500 3094375 3465700 4332125 4951000 6188750 6931400 8664250 12377500 15471875 17328500 21660625 24755000 30943750 34657000 43321250 61887500 77359375 86642500 108303125 123775000 154718750 173285000 216606250 309437500 433212500 541515625 618875000 866425000 1083031250 2166062500 4332125000