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86740992 = 2123213181
BaseRepresentation
bin1010010101110…
…01000000000000
320001012220021100
411022321000000
5134201202432
612335054400
72102200122
oct512710000
9201186240
1086740992
1144a65878
1225071400
1314c80740
14b73d212
15793607c
hex52b9000

86740992 has 156 divisors (see below), whose sum is σ = 271318684. Its totient is φ = 26542080.

The previous prime is 86740967. The next prime is 86741003. The reversal of 86740992 is 29904768.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 81432576 = 2304^2 + 9024^2 .

It is a tau number, because it is divible by the number of its divisors (156).

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, 479142 + ... + 479322.

Almost surely, 286740992 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 86740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135659342).

86740992 is an abundant number, since it is smaller than the sum of its proper divisors (184577692).

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

86740992 is a wasteful number, since it uses less digits than its factorization.

86740992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 86740992 is about 9313.4844177676. The cubic root of 86740992 is about 442.6646021742.

The spelling of 86740992 in words is "eighty-six million, seven hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 181 192 208 234 256 288 312 362 384 416 468 512 543 576 624 724 768 832 936 1024 1086 1152 1248 1448 1536 1629 1664 1872 2048 2172 2304 2353 2496 2896 3072 3258 3328 3744 4096 4344 4608 4706 4992 5792 6144 6516 6656 7059 7488 8688 9216 9412 9984 11584 12288 13032 13312 14118 14976 17376 18432 18824 19968 21177 23168 26064 26624 28236 29952 34752 36864 37648 39936 42354 46336 52128 53248 56472 59904 69504 75296 79872 84708 92672 104256 112944 119808 139008 150592 159744 169416 185344 208512 225888 239616 278016 301184 338832 370688 417024 451776 479232 556032 602368 677664 741376 834048 903552 1112064 1204736 1355328 1668096 1807104 2224128 2409472 2710656 3336192 3614208 4818944 5421312 6672384 7228416 9637888 10842624 14456832 21685248 28913664 43370496 86740992