Search a number
-
+
86491984 = 24311031693
BaseRepresentation
bin1010010011111…
…00001101010000
320000202020200211
411021330031100
5134120220414
612325453504
72100112135
oct511741520
9200666624
1086491984
1144905787
1224b71294
1314bc42b7
14b6b658c
1578d73c4
hex527c350

86491984 has 40 divisors (see below), whose sum is σ = 174766592. Its totient is φ = 41420160.

The previous prime is 86491981. The next prime is 86491997. The reversal of 86491984 is 48919468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86491981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50242 + ... + 51934.

Almost surely, 286491984 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 86491984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87383296).

86491984 is an abundant number, since it is smaller than the sum of its proper divisors (88274608).

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

86491984 is a wasteful number, since it uses less digits than its factorization.

86491984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1829 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The square root of 86491984 is about 9300.1066660550. The cubic root of 86491984 is about 442.2406093585.

The spelling of 86491984 in words is "eighty-six million, four hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 62 103 124 206 248 412 496 824 1648 1693 3193 3386 6386 6772 12772 13544 25544 27088 51088 52483 104966 174379 209932 348758 419864 697516 839728 1395032 2790064 5405749 10811498 21622996 43245992 86491984