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82272512 = 287311481
BaseRepresentation
bin1001110011101…
…10000100000000
312201210212200002
410321312010000
5132030210022
612055215132
72016206360
oct471660400
9181725602
1082272512
1142493613
12236774a8
131407787a
14acd89a0
157352092
hex4e76100

82272512 has 72 divisors (see below), whose sum is σ = 193869312. Its totient is φ = 34099200.

The previous prime is 82272461. The next prime is 82272521. The reversal of 82272512 is 21527228.

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, 54812 + ... + 56292.

Almost surely, 282272512 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 82272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96934656).

82272512 is an abundant number, since it is smaller than the sum of its proper divisors (111596800).

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

82272512 is a wasteful number, since it uses less digits than its factorization.

82272512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1521 counting only the distinct ones).

The product of its digits is 4480, while the sum is 29.

The square root of 82272512 is about 9070.4196154313. The cubic root of 82272512 is about 434.9288860717.

The spelling of 82272512 in words is "eighty-two million, two hundred seventy-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1481 1736 1792 1984 2962 3472 3968 5924 6944 7936 10367 11848 13888 20734 23696 27776 41468 45911 47392 55552 82936 91822 94784 165872 183644 189568 321377 331744 367288 379136 642754 663488 734576 1285508 1326976 1469152 2571016 2653952 2938304 5142032 5876608 10284064 11753216 20568128 41136256 82272512