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86944326 = 237383509
BaseRepresentation
bin1010010111010…
…10101001000110
320001121020012020
411023222221012
5134224204301
612343304010
72104005000
oct513525106
9201536166
1086944326
1145094617
122514b006
1315022161
14b793370
157976436
hex52eaa46

86944326 has 64 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 24493728.

The previous prime is 86944321. The next prime is 86944343. The reversal of 86944326 is 62344968.

It is a happy number.

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 (86944321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170560 + ... + 171068.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 286944326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86944326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

86944326 is an abundant number, since it is smaller than the sum of its proper divisors (118687674).

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

86944326 is a wasteful number, since it uses less digits than its factorization.

86944326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 604 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 86944326 is about 9324.3941358139. The cubic root of 86944326 is about 443.0102231707.

The spelling of 86944326 in words is "eighty-six million, nine hundred forty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 343 498 509 581 686 1018 1029 1162 1527 1743 2058 3054 3486 3563 4067 7126 8134 10689 12201 21378 24402 24941 28469 42247 49882 56938 74823 84494 85407 126741 149646 170814 174587 253482 295729 349174 523761 591458 887187 1047522 1774374 2070103 4140206 6210309 12420618 14490721 28981442 43472163 86944326