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3969728448 = 26372953667
BaseRepresentation
bin1110110010011101…
…0011111111000000
3101020122202002200120
43230213103333000
531112222302243
61453525020240
7200242064220
oct35447237700
911218662616
103969728448
111757898814
12929554680
134b3582c5a
14299314080
15183795c83
hexec9d3fc0

3969728448 has 56 divisors (see below), whose sum is σ = 12003706752. Its totient is φ = 1134207744.

The previous prime is 3969728339. The next prime is 3969728471. The reversal of 3969728448 is 8448279693.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3969728391 and 3969728400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1475490 + ... + 1478177.

Almost surely, 23969728448 is an apocalyptic number.

It is an amenable number.

3969728448 is an abundant number, since it is smaller than the sum of its proper divisors (8033978304).

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

3969728448 is a wasteful number, since it uses less digits than its factorization.

3969728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953689 (or 2953679 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The square root of 3969728448 is about 63005.7810680893. The cubic root of 3969728448 is about 1583.3864831453.

The spelling of 3969728448 in words is "three billion, nine hundred sixty-nine million, seven hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2953667 5907334 8861001 11814668 17722002 20675669 23629336 35444004 41351338 47258672 62027007 70888008 82702676 94517344 124054014 141776016 165405352 189034688 248108028 283552032 330810704 496216056 567104064 661621408 992432112 1323242816 1984864224 3969728448