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82464048 = 2433190889
BaseRepresentation
bin1001110101001…
…00110100110000
312202011121102000
410322210310300
5132102322143
612103254000
72020634652
oct472446460
9182147360
1082464048
1142604507
122374a300
1314113ac4
14ad486d2
15738dbd3
hex4ea4d30

82464048 has 40 divisors (see below), whose sum is σ = 236703600. Its totient is φ = 27487872.

The previous prime is 82464037. The next prime is 82464049. The reversal of 82464048 is 84046428.

82464048 is a `hidden beast` number, since 8 + 2 + 4 + 640 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82464049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95013 + ... + 95876.

It is an arithmetic number, because the mean of its divisors is an integer number (5917590).

Almost surely, 282464048 is an apocalyptic number.

It is an amenable number.

82464048 is an abundant number, since it is smaller than the sum of its proper divisors (154239552).

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

82464048 is a wasteful number, since it uses less digits than its factorization.

82464048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190906 (or 190894 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 82464048 is about 9080.9717541682. The cubic root of 82464048 is about 435.2661391605.

The spelling of 82464048 in words is "eighty-two million, four hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 190889 381778 572667 763556 1145334 1527112 1718001 2290668 3054224 3436002 4581336 5154003 6872004 9162672 10308006 13744008 20616012 27488016 41232024 82464048