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3896071296 = 273131941077
BaseRepresentation
bin1110100000111001…
…0101010010000000
3101001112010221001220
43220032111102000
530434343240141
61442334155040
7165356026305
oct35016252200
911045127056
103896071296
11171a25a037
12908952a80
134a1233940
1428d61d0ac
1517c096766
hexe8395480

3896071296 has 128 divisors (see below), whose sum is σ = 11731876800. Its totient is φ = 1135669248.

The previous prime is 3896071273. The next prime is 3896071327. The reversal of 3896071296 is 6921706983.

It is a tau number, because it is divible by the number of its divisors (128).

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, 74310 + ... + 115386.

Almost surely, 23896071296 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 3896071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865938400).

3896071296 is an abundant number, since it is smaller than the sum of its proper divisors (7835805504).

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

3896071296 is a wasteful number, since it uses less digits than its factorization.

3896071296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41126 (or 41114 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 3896071296 is about 62418.5172524949. The cubic root of 3896071296 is about 1573.5321903841.

The spelling of 3896071296 in words is "three billion, eight hundred ninety-six million, seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3648 3952 4992 5928 7296 7904 11856 15808 23712 31616 41077 47424 82154 94848 123231 164308 246462 328616 492924 534001 657232 780463 985848 1068002 1314464 1560926 1602003 1971696 2136004 2341389 2628928 3121852 3204006 3943392 4272008 4682778 5257856 6243704 6408012 7886784 8544016 9365556 10146019 12487408 12816024 15773568 17088032 18731112 20292038 24974816 25632048 30438057 34176064 37462224 40584076 49949632 51264096 60876114 68352128 74924448 81168152 99899264 102528192 121752228 149848896 162336304 205056384 243504456 299697792 324672608 487008912 649345216 974017824 1298690432 1948035648 3896071296