Search a number
-
+
86349204 = 22325774157
BaseRepresentation
bin1010010010110…
…01010110010100
320000110222211200
411021121112110
5134101133304
612322432500
72065645644
oct511312624
9200428750
1086349204
1144818487
1224b02730
1314b74306
14b67a524
1578a9e39
hex5259594

86349204 has 36 divisors (see below), whose sum is σ = 218702484. Its totient is φ = 28726272.

The previous prime is 86349181. The next prime is 86349209. The reversal of 86349204 is 40294368.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69555600 + 16793604 = 8340^2 + 4098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86349209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18694 + ... + 22850.

It is an arithmetic number, because the mean of its divisors is an integer number (6075069).

Almost surely, 286349204 is an apocalyptic number.

It is an amenable number.

86349204 is an abundant number, since it is smaller than the sum of its proper divisors (132353280).

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

86349204 is a wasteful number, since it uses less digits than its factorization.

86349204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86349204 is about 9292.4272394246. The cubic root of 86349204 is about 441.9971267123.

The spelling of 86349204 in words is "eighty-six million, three hundred forty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 2308 3462 4157 5193 6924 8314 10386 12471 16628 20772 24942 37413 49884 74826 149652 2398589 4797178 7195767 9594356 14391534 21587301 28783068 43174602 86349204