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3882430848 = 27310110497
BaseRepresentation
bin1110011101101001…
…0011000110000000
3101000120110220220010
43213122103012000
530422400241343
61441125544520
7165132055242
oct34732230600
911016426803
103882430848
11171259283a
12904275140
1349b46907a
1428b8ac092
1517ac9ed33
hexe7693180

3882430848 has 32 divisors (see below), whose sum is σ = 10312707960. Its totient is φ = 1294143488.

The previous prime is 3882430847. The next prime is 3882430859. The reversal of 3882430848 is 8480342883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3882430797 and 3882430806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882430847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5054865 + ... + 5055632.

Almost surely, 23882430848 is an apocalyptic number.

It is an amenable number.

3882430848 is an abundant number, since it is smaller than the sum of its proper divisors (6430277112).

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

3882430848 is a wasteful number, since it uses less digits than its factorization.

3882430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110514 (or 10110502 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 3882430848 is about 62309.1554107420. The cubic root of 3882430848 is about 1571.6936903588.

The spelling of 3882430848 in words is "three billion, eight hundred eighty-two million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10110497 20220994 30331491 40441988 60662982 80883976 121325964 161767952 242651928 323535904 485303856 647071808 970607712 1294143616 1941215424 3882430848