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86074912 = 25711181193
BaseRepresentation
bin1010010000101…
…10011000100000
312222222001120201
411020112120200
5134013344122
612312514544
72063424160
oct510263040
9188861521
1086074912
11446503a0
12249aba54
1314aa9501
14b6085a0
157853a27
hex5216620

86074912 has 96 divisors (see below), whose sum is σ = 213542784. Its totient is φ = 33177600.

The previous prime is 86074897. The next prime is 86074951. The reversal of 86074912 is 21947068.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445888 + ... + 446080.

It is an arithmetic number, because the mean of its divisors is an integer number (2224404).

Almost surely, 286074912 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 86074912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106771392).

86074912 is an abundant number, since it is smaller than the sum of its proper divisors (127467872).

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

86074912 is a wasteful number, since it uses less digits than its factorization.

86074912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 86074912 is about 9277.6566006724. The cubic root of 86074912 is about 441.5286225916.

The spelling of 86074912 in words is "eighty-six million, seventy-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 181 193 224 308 352 362 386 616 724 772 1232 1267 1351 1448 1544 1991 2123 2464 2534 2702 2896 3088 3982 4246 5068 5404 5792 6176 7964 8492 10136 10808 13937 14861 15928 16984 20272 21616 27874 29722 31856 33968 34933 40544 43232 55748 59444 63712 67936 69866 111496 118888 139732 222992 237776 244531 279464 384263 445984 475552 489062 558928 768526 978124 1117856 1537052 1956248 2689841 3074104 3912496 5379682 6148208 7824992 10759364 12296416 21518728 43037456 86074912