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3909458652 = 223111711531511
BaseRepresentation
bin1110100100000101…
…1001101011011100
3101002110100002001220
43221001121223130
531001310134102
61443533133340
7165610564431
oct35101315334
911073302056
103909458652
111726873170
1291132a250
134a3c40258
14291305b88
1517d33d1bc
hexe9059adc

3909458652 has 96 divisors (see below), whose sum is σ = 10552840704. Its totient is φ = 1113292800.

The previous prime is 3909458633. The next prime is 3909458681. The reversal of 3909458652 is 2568549093.

3909458652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3909458595 and 3909458604.

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, 2586577 + ... + 2588087.

It is an arithmetic number, because the mean of its divisors is an integer number (109925424).

Almost surely, 23909458652 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 3909458652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276420352).

3909458652 is an abundant number, since it is smaller than the sum of its proper divisors (6643382052).

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

3909458652 is a wasteful number, since it uses less digits than its factorization.

3909458652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 3909458652 is about 62525.6639468946. The cubic root of 3909458652 is about 1575.3324101610.

The spelling of 3909458652 in words is "three billion, nine hundred nine million, four hundred fifty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1153 1511 2244 2306 3022 3459 4533 4612 6044 6918 9066 12683 13836 16621 18132 19601 25366 25687 33242 38049 39202 49863 50732 51374 58803 66484 76098 77061 78404 99726 102748 117606 152196 154122 199452 215611 235212 282557 308244 431222 565114 646833 847671 862444 1130228 1293666 1695342 1742183 2587332 3390684 3484366 5226549 6968732 10453098 19164013 20906196 29617111 38328026 57492039 59234222 76656052 88851333 114984078 118468444 177702666 229968156 325788221 355405332 651576442 977364663 1303152884 1954729326 3909458652