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3930548820 = 2235116738849
BaseRepresentation
bin1110101001000111…
…0110101001010100
3101010221000120100020
43222101312221110
531022210030240
61450005145140
7166255054002
oct35221665124
911127016306
103930548820
111737768560
129183bb1b0
134a8415943
14294035a72
151801070d0
hexea476a54

3930548820 has 96 divisors (see below), whose sum is σ = 12025238400. Its totient is φ = 951336960.

The previous prime is 3930548819. The next prime is 3930548833. The reversal of 3930548820 is 288450393.

3930548820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439756 + ... + 448604.

It is an arithmetic number, because the mean of its divisors is an integer number (125262900).

Almost surely, 23930548820 is an apocalyptic number.

3930548820 is a gapful number since it is divisible by the number (30) 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 3930548820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012619200).

3930548820 is an abundant number, since it is smaller than the sum of its proper divisors (8094689580).

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

3930548820 is a wasteful number, since it uses less digits than its factorization.

3930548820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9545 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3930548820 is about 62694.0891950748. The cubic root of 3930548820 is about 1578.1601213214.

The spelling of 3930548820 in words is "three billion, nine hundred thirty million, five hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 673 1346 2019 2692 3365 4038 6730 7403 8076 8849 10095 13460 14806 17698 20190 22209 26547 29612 35396 37015 40380 44245 44418 53094 74030 88490 88836 97339 106188 111045 132735 148060 176980 194678 222090 265470 292017 389356 444180 486695 530940 584034 973390 1168068 1460085 1946780 2920170 5840340 5955377 11910754 17866131 23821508 29776885 35732262 59553770 65509147 71464524 89330655 119107540 131018294 178661310 196527441 262036588 327545735 357322620 393054882 655091470 786109764 982637205 1310182940 1965274410 3930548820