Search a number
-
+
86996608 = 272332917
BaseRepresentation
bin1010010111101…
…11011010000000
320001200212220121
411023313122000
5134232342413
612344350024
72104313266
oct513673200
9201625817
1086996608
114511a926
1225175314
131503cbaa
14b7a8436
157986b8d
hex52f7680

86996608 has 32 divisors (see below), whose sum is σ = 174117060. Its totient is φ = 43296768.

The previous prime is 86996593. The next prime is 86996627. The reversal of 86996608 is 80669968.

It can be written as a sum of positive squares in 2 ways, for example, as 83028544 + 3968064 = 9112^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 28366 + ... + 31282.

Almost surely, 286996608 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 86996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87058530).

86996608 is an abundant number, since it is smaller than the sum of its proper divisors (87120452).

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

86996608 is a wasteful number, since it uses less digits than its factorization.

86996608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 86996608 is about 9327.1972210305. The cubic root of 86996608 is about 443.0990034303.

The spelling of 86996608 in words is "eighty-six million, nine hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 233 466 932 1864 2917 3728 5834 7456 11668 14912 23336 29824 46672 93344 186688 373376 679661 1359322 2718644 5437288 10874576 21749152 43498304 86996608