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86554314 = 232711197317
BaseRepresentation
bin1010010100010…
…11011011001010
320000212102012100
411022023123022
5134124214224
612331054230
72100461640
oct512133312
9200772170
1086554314
11449485a0
1224ba1376
1314c16792
14b6d1190
1578eaac9
hex528b6ca

86554314 has 96 divisors (see below), whose sum is σ = 235737216. Its totient is φ = 22296960.

The previous prime is 86554301. The next prime is 86554343. The reversal of 86554314 is 41345568.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272884 + ... + 273200.

It is an arithmetic number, because the mean of its divisors is an integer number (2455596).

Almost surely, 286554314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86554314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117868608).

86554314 is an abundant number, since it is smaller than the sum of its proper divisors (149182902).

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

86554314 is a wasteful number, since it uses less digits than its factorization.

86554314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 537 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 86554314 is about 9303.4570993798. The cubic root of 86554314 is about 442.3468166510.

It can be divided in two parts, 86554 and 314, that added together give a palindrome (86868).

The spelling of 86554314 in words is "eighty-six million, five hundred fifty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 197 198 231 317 394 462 591 634 693 951 1182 1379 1386 1773 1902 2167 2219 2758 2853 3487 3546 4137 4334 4438 5706 6501 6657 6974 8274 10461 12411 13002 13314 15169 19503 19971 20922 24409 24822 30338 31383 39006 39942 45507 48818 62449 62766 73227 91014 124898 136521 146454 187347 219681 273042 374694 437143 439362 562041 686939 874286 1124082 1311429 1373878 2060817 2622858 3934287 4121634 4808573 6182451 7868574 9617146 12364902 14425719 28851438 43277157 86554314