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86080488 = 233132191117
BaseRepresentation
bin1010010000101…
…11101111101000
312222222100020020
411020113233220
5134014033423
612313000440
72063446344
oct510275750
9188870206
1086080488
11446545aa
12249b3120
1314aabc00
14b60a624
1578554e3
hex5217be8

86080488 has 96 divisors (see below), whose sum is σ = 245512800. Its totient is φ = 25069824.

The previous prime is 86080487. The next prime is 86080517. The reversal of 86080488 is 88408068.

It is not an unprimeable number, because it can be changed into a prime (86080481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76506 + ... + 77622.

It is an arithmetic number, because the mean of its divisors is an integer number (2557425).

Almost surely, 286080488 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 86080488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122756400).

86080488 is an abundant number, since it is smaller than the sum of its proper divisors (159432312).

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

86080488 is a wasteful number, since it uses less digits than its factorization.

86080488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 86080488 is about 9277.9571027247. The cubic root of 86080488 is about 441.5381565754.

It can be divided in two parts, 86080 and 488, that added together give a palindrome (86568).

The spelling of 86080488 in words is "eighty-six million, eighty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 312 338 456 494 507 676 741 988 1014 1117 1352 1482 1976 2028 2234 2964 3211 3351 4056 4468 5928 6422 6702 8936 9633 12844 13404 14521 19266 21223 25688 26808 29042 38532 42446 43563 58084 63669 77064 84892 87126 116168 127338 169784 174252 188773 254676 275899 348504 377546 509352 551798 566319 755092 827697 1103596 1132638 1510184 1655394 2207192 2265276 3310788 3586687 4530552 6621576 7173374 10760061 14346748 21520122 28693496 43040244 86080488