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86077452 = 223293179101
BaseRepresentation
bin1010010000101…
…11000000001100
312222222012001210
411020113000030
5134013434302
612312534420
72063434446
oct510270014
9188865053
1086077452
114465229a
12249b1410
1314aaa706
14b609496
15785466c
hex521700c

86077452 has 96 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 26208000.

The previous prime is 86077451. The next prime is 86077463. The reversal of 86077452 is 25477068.

It is a self number, because there is not a number n which added to its sum of digits gives 86077452.

It is not an unprimeable number, because it can be changed into a prime (86077451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852202 + ... + 852302.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 286077452 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 86077452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

86077452 is an abundant number, since it is smaller than the sum of its proper divisors (133263348).

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

86077452 is a wasteful number, since it uses less digits than its factorization.

86077452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 86077452 is about 9277.7934876780. The cubic root of 86077452 is about 441.5329655980.

The spelling of 86077452 in words is "eighty-six million, seventy-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 79 87 93 101 116 124 158 174 186 202 237 303 316 348 372 404 474 606 899 948 1212 1798 2291 2449 2697 2929 3131 3596 4582 4898 5394 5858 6262 6873 7347 7979 8787 9164 9393 9796 10788 11716 12524 13746 14694 15958 17574 18786 23937 27492 29388 31916 35148 37572 47874 71021 90799 95748 142042 181598 213063 231391 247349 272397 284084 363196 426126 462782 494698 544794 694173 742047 852252 925564 989396 1089588 1388346 1484094 2776692 2968188 7173121 14346242 21519363 28692484 43038726 86077452