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86876928 = 283312569
BaseRepresentation
bin1010010110110…
…10001100000000
320001110210202000
411023122030000
5134220030203
612342024000
72103304335
oct513321400
9201423660
1086876928
1145048a16
1225118000
1314cca588
14b77698c
1579614a3
hex52da300

86876928 has 72 divisors (see below), whose sum is σ = 256930800. Its totient is φ = 28956672.

The previous prime is 86876903. The next prime is 86876939. The reversal of 86876928 is 82967868.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 628 + ... + 13196.

Almost surely, 286876928 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 86876928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128465400).

86876928 is an abundant number, since it is smaller than the sum of its proper divisors (170053872).

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

86876928 is a wasteful number, since it uses less digits than its factorization.

86876928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12594 (or 12574 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 86876928 is about 9320.7793665551. The cubic root of 86876928 is about 442.8957218460.

The spelling of 86876928 in words is "eighty-six million, eight hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 12569 25138 37707 50276 75414 100552 113121 150828 201104 226242 301656 339363 402208 452484 603312 678726 804416 904968 1206624 1357452 1608832 1809936 2413248 2714904 3217664 3619872 4826496 5429808 7239744 9652992 10859616 14479488 21719232 28958976 43438464 86876928