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3906946208 = 251189311401
BaseRepresentation
bin1110100011011111…
…0100010010100000
3101002021121102122102
43220313310102200
531000134234313
61443403225532
7165550331504
oct35067642240
911067542572
103906946208
111725407570
129105182a8
134a35707b9
14290c50304
1517cee3a58
hexe8df44a0

3906946208 has 96 divisors (see below), whose sum is σ = 8533848960. Its totient is φ = 1745920000.

The previous prime is 3906946189. The next prime is 3906946229. The reversal of 3906946208 is 8026496093.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9742808 + ... + 9743208.

It is an arithmetic number, because the mean of its divisors is an integer number (88894260).

Almost surely, 23906946208 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 3906946208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266924480).

3906946208 is an abundant number, since it is smaller than the sum of its proper divisors (4626902752).

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

3906946208 is a wasteful number, since it uses less digits than its factorization.

3906946208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 3906946208 is about 62505.5694158529. The cubic root of 3906946208 is about 1574.9948713027.

The spelling of 3906946208 in words is "three billion, nine hundred six million, nine hundred forty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 311 352 356 401 622 712 802 979 1244 1424 1604 1958 2488 2848 3208 3421 3916 4411 4976 6416 6842 7832 8822 9952 12832 13684 15664 17644 27368 27679 31328 35288 35689 54736 55358 70576 71378 109472 110716 124711 141152 142756 221432 249422 285512 304469 392579 442864 498844 571024 608938 785158 885728 997688 1142048 1217876 1371821 1570316 1995376 2435752 2743642 3140632 3990752 4871504 5487284 6281264 9743008 10974568 11099279 12562528 21949136 22198558 43898272 44397116 88794232 122092069 177588464 244184138 355176928 488368276 976736552 1953473104 3906946208