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86084388 = 223213419439
BaseRepresentation
bin1010010000110…
…00101100100100
312222222112120200
411020120230210
5134014200023
612313030500
72063463615
oct510305444
9188875520
1086084388
1144657525
12249b5430
1314ab0910
14b60bc0c
157856743
hex5218b24

86084388 has 72 divisors (see below), whose sum is σ = 235435200. Its totient is φ = 26364096.

The previous prime is 86084387. The next prime is 86084393. The reversal of 86084388 is 88348068.

86084388 is a `hidden beast` number, since 8 + 608 + 4 + 38 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (86084381) 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, 195873 + ... + 196311.

Almost surely, 286084388 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 86084388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117717600).

86084388 is an abundant number, since it is smaller than the sum of its proper divisors (149350812).

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

86084388 is a wasteful number, since it uses less digits than its factorization.

86084388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 86084388 is about 9278.1672759225. The cubic root of 86084388 is about 441.5448246479.

It can be divided in two parts, 8608 and 4388, that added together give a square (12996 = 1142).

The spelling of 86084388 in words is "eighty-six million, eighty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 419 439 468 838 878 1257 1317 1676 1756 2514 2634 3771 3951 5028 5268 5447 5707 7542 7902 10894 11414 15084 15804 16341 17121 21788 22828 32682 34242 49023 51363 65364 68484 98046 102726 183941 196092 205452 367882 551823 735764 1103646 1655469 2207292 2391233 3310938 4782466 6621876 7173699 9564932 14347398 21521097 28694796 43042194 86084388