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86944026 = 23133141877
BaseRepresentation
bin1010010111010…
…10100100011010
320001121012210010
411023222210122
5134224202101
612343302350
72104004061
oct513524432
9201535703
1086944026
1145094374
122514a9b6
1315021c90
14b7931d8
1579762d6
hex52ea91a

86944026 has 64 divisors (see below), whose sum is σ = 198245376. Its totient is φ = 25228800.

The previous prime is 86944007. The next prime is 86944049. The reversal of 86944026 is 62044968.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a cake number, because a cake can be divided into 86944026 parts by 805 planar cuts.

It is an unprimeable number.

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, 98700 + ... + 99576.

It is an arithmetic number, because the mean of its divisors is an integer number (3097584).

Almost surely, 286944026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86944026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99122688).

86944026 is an abundant number, since it is smaller than the sum of its proper divisors (111301350).

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

86944026 is a wasteful number, since it uses less digits than its factorization.

86944026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 86944026 is about 9324.3780489639. The cubic root of 86944026 is about 443.0097136369.

It can be divided in two parts, 8694 and 4026, that added together give a triangular number (12720 = T159).

The spelling of 86944026 in words is "eighty-six million, nine hundred forty-four thousand, twenty-six".

Divisors: 1 2 3 6 13 26 31 39 41 62 78 82 93 123 186 246 403 533 806 877 1066 1209 1271 1599 1754 2418 2542 2631 3198 3813 5262 7626 11401 16523 22802 27187 33046 34203 35957 49569 54374 68406 71914 81561 99138 107871 163122 215742 353431 467441 706862 934882 1060293 1114667 1402323 2120586 2229334 2804646 3344001 6688002 14490671 28981342 43472013 86944026