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82169472 = 2737211397
BaseRepresentation
bin1001110010111…
…00111010000000
312201121122022210
410321130322000
5132013410342
612053102120
72015300100
oct471347200
9181548283
1082169472
1142423160
1223627940
131403c9b8
14acad200
15733179c
hex4e5ce80

82169472 has 192 divisors, whose sum is σ = 277676640. Its totient is φ = 21288960.

The previous prime is 82169447. The next prime is 82169491. The reversal of 82169472 is 27496128.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 82169472.

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, 206778 + ... + 207174.

Almost surely, 282169472 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 82169472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138838320).

82169472 is an abundant number, since it is smaller than the sum of its proper divisors (195507168).

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

82169472 is a wasteful number, since it uses less digits than its factorization.

82169472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 82169472 is about 9064.7378340468. The cubic root of 82169472 is about 434.7472385464.

The spelling of 82169472 in words is "eighty-two million, one hundred sixty-nine thousand, four hundred seventy-two".