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85698216 = 23333710723
BaseRepresentation
bin1010001101110…
…10011010101000
312222020220212000
411012322122220
5133414320331
612300451000
72060265012
oct506723250
9188226760
1085698216
114441337a
1224849a60
13149a6c06
14b54b1b2
1577cc0e6
hex51ba6a8

85698216 has 64 divisors (see below), whose sum is σ = 244507200. Its totient is φ = 27791424.

The previous prime is 85698211. The next prime is 85698233. The reversal of 85698216 is 61289658.

85698216 is a `hidden beast` number, since 8 + 569 + 82 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (85698211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2631 + ... + 13353.

It is an arithmetic number, because the mean of its divisors is an integer number (3820425).

Almost surely, 285698216 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 85698216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122253600).

85698216 is an abundant number, since it is smaller than the sum of its proper divisors (158808984).

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

85698216 is a wasteful number, since it uses less digits than its factorization.

85698216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775 (or 10765 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 85698216 is about 9257.3330932834. Note that the first 3 decimals coincide. The cubic root of 85698216 is about 440.8835825795.

The spelling of 85698216 in words is "eighty-five million, six hundred ninety-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 10723 21446 32169 42892 64338 85784 96507 128676 193014 257352 289521 386028 396751 579042 772056 793502 1158084 1190253 1587004 2316168 2380506 3174008 3570759 4761012 7141518 9522024 10712277 14283036 21424554 28566072 42849108 85698216