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82143488 = 287231993
BaseRepresentation
bin1001110010101…
…10100100000000
312201120022200102
410321112210000
5132012042423
612052341532
72015131250
oct471264400
9181508612
1082143488
1142405689
12236148a8
1314030c1b
14aca3960
157328c28
hex4e56900

82143488 has 72 divisors (see below), whose sum is σ = 195635328. Its totient is φ = 33656832.

The previous prime is 82143463. The next prime is 82143491. The reversal of 82143488 is 88434128.

It is a super-2 number, since 2×821434882 = 13495105241612288, which contains 22 as substring.

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, 40220 + ... + 42212.

Almost surely, 282143488 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 82143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97817664).

82143488 is an abundant number, since it is smaller than the sum of its proper divisors (113491840).

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

82143488 is a wasteful number, since it uses less digits than its factorization.

82143488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2025 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 82143488 is about 9063.3044746384. The cubic root of 82143488 is about 434.7014078061.

The spelling of 82143488 in words is "eighty-two million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1472 1792 1993 2576 2944 3986 5152 5888 7972 10304 13951 15944 20608 27902 31888 41216 45839 55804 63776 91678 111608 127552 183356 223216 255104 320873 366712 446432 510208 641746 733424 892864 1283492 1466848 1785728 2566984 2933696 3571456 5133968 5867392 10267936 11734784 20535872 41071744 82143488