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86204468 = 22741611231
BaseRepresentation
bin1010010001101…
…10000000110100
320000012122022002
411020312000310
5134032020333
612315354432
72064503660
oct510660064
9200178262
1086204468
1144729769
1224a52a18
1314b2347c
14b63d8a0
15787c0e8
hex5236034

86204468 has 48 divisors (see below), whose sum is σ = 179655168. Its totient is φ = 35424000.

The previous prime is 86204429. The next prime is 86204471. The reversal of 86204468 is 86440268.

It is a happy number.

It is a congruent number.

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, 69413 + ... + 70643.

It is an arithmetic number, because the mean of its divisors is an integer number (3742816).

Almost surely, 286204468 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 86204468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89827584).

86204468 is an abundant number, since it is smaller than the sum of its proper divisors (93450700).

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

86204468 is a wasteful number, since it uses less digits than its factorization.

86204468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 86204468 is about 9284.6361264187. The cubic root of 86204468 is about 441.7500344032.

The spelling of 86204468 in words is "eighty-six million, two hundred four thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 41 61 82 122 164 244 287 427 574 854 1148 1231 1708 2462 2501 4924 5002 8617 10004 17234 17507 34468 35014 50471 70028 75091 100942 150182 201884 300364 353297 525637 706594 1051274 1413188 2102548 3078731 6157462 12314924 21551117 43102234 86204468