Search a number
-
+
86204976 = 243111319661
BaseRepresentation
bin1010010001101…
…10001000110000
320000012122222220
411020312020300
5134032024401
612315401040
72064505314
oct510661060
9200178886
1086204976
114472a090
1224a53180
1314b23780
14b63db44
15787c336
hex5236230

86204976 has 160 divisors (see below), whose sum is σ = 275815680. Its totient is φ = 22809600.

The previous prime is 86204971. The next prime is 86204983. The reversal of 86204976 is 67940268.

It is not an unprimeable number, because it can be changed into a prime (86204971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130086 + ... + 130746.

It is an arithmetic number, because the mean of its divisors is an integer number (1723848).

Almost surely, 286204976 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 86204976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137907840).

86204976 is an abundant number, since it is smaller than the sum of its proper divisors (189610704).

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

86204976 is a wasteful number, since it uses less digits than its factorization.

86204976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 86204976 is about 9284.6634834010. The cubic root of 86204976 is about 441.7509021408.

The spelling of 86204976 in words is "eighty-six million, two hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 661 741 836 858 912 988 1144 1254 1322 1482 1672 1716 1976 1983 2288 2508 2644 2717 2964 3344 3432 3952 3966 5016 5288 5434 5928 6864 7271 7932 8151 8593 10032 10576 10868 11856 12559 14542 15864 16302 17186 21736 21813 25118 25779 29084 31728 32604 34372 37677 43472 43626 50236 51558 58168 65208 68744 75354 87252 94523 100472 103116 116336 130416 137488 138149 150708 163267 174504 189046 200944 206232 276298 283569 301416 326534 349008 378092 412464 414447 489801 552596 567138 602832 653068 756184 828894 979602 1105192 1134276 1306136 1512368 1657788 1795937 1959204 2210384 2268552 2612272 3315576 3591874 3918408 4537104 5387811 6631152 7183748 7836816 10775622 14367496 21551244 28734992 43102488 86204976