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3898411128 = 2332232638951
BaseRepresentation
bin1110100001011101…
…0000100001111000
3101001200112210201100
43220113100201320
530440443124003
61442500251400
7165414643053
oct35027204170
911050483640
103898411128
111720607a87
129096a0b60
134a1872961
1428da6ba9a
1517c3a9ba3
hexe85d0878

3898411128 has 96 divisors (see below), whose sum is σ = 11060375040. Its totient is φ = 1238107200.

The previous prime is 3898411109. The next prime is 3898411163. The reversal of 3898411128 is 8211148983.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431053 + ... + 440003.

It is an arithmetic number, because the mean of its divisors is an integer number (115212240).

Almost surely, 23898411128 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 3898411128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530187520).

3898411128 is an abundant number, since it is smaller than the sum of its proper divisors (7161963912).

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

3898411128 is a wasteful number, since it uses less digits than its factorization.

3898411128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9242 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 3898411128 is about 62437.2575310607. The cubic root of 3898411128 is about 1573.8471285093.

The spelling of 3898411128 in words is "three billion, eight hundred ninety-eight million, four hundred eleven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 263 276 414 526 552 789 828 1052 1578 1656 2104 2367 3156 4734 6049 6312 8951 9468 12098 17902 18147 18936 24196 26853 35804 36294 48392 53706 54441 71608 72588 80559 107412 108882 145176 161118 205873 214824 217764 322236 411746 435528 617619 644472 823492 1235238 1646984 1852857 2354113 2470476 3705714 4708226 4940952 7062339 7411428 9416452 14124678 14822856 18832904 21187017 28249356 42374034 54144599 56498712 84748068 108289198 162433797 169496136 216578396 324867594 433156792 487301391 649735188 974602782 1299470376 1949205564 3898411128