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86076928 = 29724773
BaseRepresentation
bin1010010000101…
…10111000000000
312222222011100101
411020112320000
5134013430203
612312532144
72063433100
oct510267000
9188864311
1086076928
1144651963
12249b1054
1314aaa3c2
14b609200
15785441d
hex5216e00

86076928 has 120 divisors (see below), whose sum is σ = 207120672. Its totient is φ = 35610624.

The previous prime is 86076889. The next prime is 86076937. The reversal of 86076928 is 82967068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179100 + ... + 1179172.

Almost surely, 286076928 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 86076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103560336).

86076928 is an abundant number, since it is smaller than the sum of its proper divisors (121043744).

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

86076928 is an equidigital number, since it uses as much as digits as its factorization.

86076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 86076928 is about 9277.7652481619. The cubic root of 86076928 is about 441.5320696462.

The spelling of 86076928 in words is "eighty-six million, seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 73 94 98 112 128 146 188 196 224 256 292 329 376 392 448 511 512 584 658 752 784 896 1022 1168 1316 1504 1568 1792 2044 2303 2336 2632 3008 3136 3431 3577 3584 4088 4606 4672 5264 6016 6272 6862 7154 8176 9212 9344 10528 12032 12544 13724 14308 16352 18424 18688 21056 24017 24064 25088 27448 28616 32704 36848 37376 42112 48034 54896 57232 65408 73696 84224 96068 109792 114464 130816 147392 168119 168448 192136 219584 228928 261632 294784 336238 384272 439168 457856 589568 672476 768544 878336 915712 1179136 1344952 1537088 1756672 1831424 2689904 3074176 5379808 6148352 10759616 12296704 21519232 43038464 86076928