Search a number
-
+
85719216 = 24311315237
BaseRepresentation
bin1010001101111…
…11100010110000
312222021222122210
411012333202300
5133421003331
612301132120
72060413152
oct506774260
9188258583
1085719216
1144428130
122485a040
13149b363b
14b554ad2
1577d3446
hex51bf8b0

85719216 has 80 divisors (see below), whose sum is σ = 249412608. Its totient is φ = 25132800.

The previous prime is 85719209. The next prime is 85719239. The reversal of 85719216 is 61291758.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13750 + ... + 18986.

Almost surely, 285719216 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 85719216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124706304).

85719216 is an abundant number, since it is smaller than the sum of its proper divisors (163693392).

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

85719216 is a wasteful number, since it uses less digits than its factorization.

85719216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5284 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 85719216 is about 9258.4672597574. The cubic root of 85719216 is about 440.9195918825.

The spelling of 85719216 in words is "eighty-five million, seven hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5237 5456 8184 10474 15711 16368 20948 31422 41896 57607 62844 83792 115214 125688 162347 172821 230428 251376 324694 345642 460856 487041 649388 691284 921712 974082 1298776 1382568 1785817 1948164 2597552 2765136 3571634 3896328 5357451 7143268 7792656 10714902 14286536 21429804 28573072 42859608 85719216