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86719416 = 23372371993
BaseRepresentation
bin1010010101100…
…11101110111000
320001011210200020
411022303232320
5134200010131
612334410440
72102050200
oct512635670
9201153606
1086719416
1144a50643
1225060a20
1314c73984
14b735400
15792e996
hex52b3bb8

86719416 has 96 divisors (see below), whose sum is σ = 259140240. Its totient is φ = 24095232.

The previous prime is 86719403. The next prime is 86719417. The reversal of 86719416 is 61491768.

It is a super-2 number, since 2×867194162 = 15040514222762112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86719417) 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, 42516 + ... + 44508.

Almost surely, 286719416 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 86719416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129570120).

86719416 is an abundant number, since it is smaller than the sum of its proper divisors (172420824).

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

86719416 is a wasteful number, since it uses less digits than its factorization.

86719416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2042 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 86719416 is about 9312.3260252206. The cubic root of 86719416 is about 442.6278962553.

The spelling of 86719416 in words is "eighty-six million, seven hundred nineteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 392 444 518 588 777 888 1036 1176 1554 1813 1993 2072 3108 3626 3986 5439 5979 6216 7252 7972 10878 11958 13951 14504 15944 21756 23916 27902 41853 43512 47832 55804 73741 83706 97657 111608 147482 167412 195314 221223 292971 294964 334824 390628 442446 516187 585942 589928 781256 884892 1032374 1171884 1548561 1769784 2064748 2343768 3097122 3613309 4129496 6194244 7226618 10839927 12388488 14453236 21679854 28906472 43359708 86719416