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82872768 = 2631139239
BaseRepresentation
bin1001111000010…
…00100111000000
312202221101001210
410330020213000
5132203412033
612120130120
72024256366
oct474104700
9182841053
1082872768
11428635a0
1223906940
1314227b54
14b013636
15741ed63
hex4f089c0

82872768 has 56 divisors (see below), whose sum is σ = 239207040. Its totient is φ = 25112320.

The previous prime is 82872743. The next prime is 82872787. The reversal of 82872768 is 86727828.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 17508 + ... + 21731.

Almost surely, 282872768 is an apocalyptic number.

82872768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82872768 is an abundant number, since it is smaller than the sum of its proper divisors (156334272).

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

82872768 is a wasteful number, since it uses less digits than its factorization.

82872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39265 (or 39255 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 82872768 is about 9103.4481379310. The cubic root of 82872768 is about 435.9840636096.

The spelling of 82872768 in words is "eighty-two million, eight hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 39239 78478 117717 156956 235434 313912 431629 470868 627824 863258 941736 1255648 1294887 1726516 1883472 2511296 2589774 3453032 3766944 5179548 6906064 7533888 10359096 13812128 20718192 27624256 41436384 82872768