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82700448 = 2534718329
BaseRepresentation
bin1001110110111…
…10100010100000
312202121121200120
410323132202200
5132132403243
612112320240
72022641115
oct473364240
9182547616
1082700448
1142756086
1223843080
131419759c
14adaa90c
1573d8c83
hex4ede8a0

82700448 has 48 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 26978816.

The previous prime is 82700437. The next prime is 82700503. The reversal of 82700448 is 84400728.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4653 + ... + 13676.

It is an arithmetic number, because the mean of its divisors is an integer number (4619160).

Almost surely, 282700448 is an apocalyptic number.

It is an amenable number.

82700448 is an abundant number, since it is smaller than the sum of its proper divisors (139019232).

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

82700448 is a wasteful number, since it uses less digits than its factorization.

82700448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389 (or 18381 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 82700448 is about 9093.9786672281. The cubic root of 82700448 is about 435.6816687118.

The spelling of 82700448 in words is "eighty-two million, seven hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 18329 36658 54987 73316 109974 146632 219948 293264 439896 586528 861463 879792 1722926 1759584 2584389 3445852 5168778 6891704 10337556 13783408 20675112 27566816 41350224 82700448