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86943744 = 211325389
BaseRepresentation
bin1010010111010…
…10100000000000
320001121012101200
411023222200000
5134224144434
612343301200
72104003206
oct513524000
9201535350
1086943744
1145094138
122514a800
1315021b04
14b793076
157976199
hex52ea800

86943744 has 144 divisors (see below), whose sum is σ = 258722100. Its totient is φ = 28114944.

The previous prime is 86943733. The next prime is 86943767. The reversal of 86943744 is 44734968.

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 230400 = 9312^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 86943744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976852 + ... + 976940.

Almost surely, 286943744 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 86943744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129361050).

86943744 is an abundant number, since it is smaller than the sum of its proper divisors (171778356).

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

86943744 is a wasteful number, since it uses less digits than its factorization.

86943744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 86943744 is about 9324.3629272996. The cubic root of 86943744 is about 443.0092346741.

The spelling of 86943744 in words is "eighty-six million, nine hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 89 96 106 128 144 159 178 192 212 256 267 288 318 356 384 424 477 512 534 576 636 712 768 801 848 954 1024 1068 1152 1272 1424 1536 1602 1696 1908 2048 2136 2304 2544 2848 3072 3204 3392 3816 4272 4608 4717 5088 5696 6144 6408 6784 7632 8544 9216 9434 10176 11392 12816 13568 14151 15264 17088 18432 18868 20352 22784 25632 27136 28302 30528 34176 37736 40704 42453 45568 51264 54272 56604 61056 68352 75472 81408 84906 91136 102528 108544 113208 122112 136704 150944 162816 169812 182272 205056 226416 244224 273408 301888 325632 339624 410112 452832 488448 546816 603776 679248 820224 905664 976896 1207552 1358496 1640448 1811328 2415104 2716992 3622656 4830208 5433984 7245312 9660416 10867968 14490624 21735936 28981248 43471872 86943744