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4200288620 = 2251127170451
BaseRepresentation
bin1111101001011011…
…0101000101101100
3101211201120202210012
43322112311011230
532100233213440
61532442432352
7206041602263
oct37226650554
911751522705
104200288620
111865a54010
129928026b8
1351c27a1a8
142bbbad5da
15198b39e65
hexfa5b516c

4200288620 has 48 divisors (see below), whose sum is σ = 9658123776. Its totient is φ = 1521720000.

The previous prime is 4200288601. The next prime is 4200288623. The reversal of 4200288620 is 268820024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4200288623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24395 + ... + 94845.

It is an arithmetic number, because the mean of its divisors is an integer number (201210912).

Almost surely, 24200288620 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 4200288620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829061888).

4200288620 is an abundant number, since it is smaller than the sum of its proper divisors (5457835156).

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

4200288620 is a wasteful number, since it uses less digits than its factorization.

4200288620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70742 (or 70740 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4200288620 is about 64809.6336974682. The cubic root of 4200288620 is about 1613.4656029380.

The spelling of 4200288620 in words is "four billion, two hundred million, two hundred eighty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1355 2710 2981 5420 5962 11924 14905 29810 59620 70451 140902 281804 352255 704510 774961 1409020 1549922 3099844 3874805 7749610 15499220 19092221 38184442 76368884 95461105 190922210 210014431 381844420 420028862 840057724 1050072155 2100144310 4200288620