Search a number
-
+
86079448 = 23713317373
BaseRepresentation
bin1010010000101…
…11011111011000
312222222021210201
411020113133120
5134014020243
612312551544
72063443330
oct510273730
9188867721
1086079448
1144653844
12249b25b4
1314aab5b0
14b60a0c0
15785504d
hex52177d8

86079448 has 64 divisors (see below), whose sum is σ = 199805760. Its totient is φ = 33854976.

The previous prime is 86079401. The next prime is 86079451. The reversal of 86079448 is 84497068.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86079398 and 86079407.

It is a congruent number.

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, 230590 + ... + 230962.

It is an arithmetic number, because the mean of its divisors is an integer number (3121965).

Almost surely, 286079448 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 86079448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99902880).

86079448 is an abundant number, since it is smaller than the sum of its proper divisors (113726312).

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

86079448 is a wasteful number, since it uses less digits than its factorization.

86079448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 86079448 is about 9277.9010557345. The cubic root of 86079448 is about 441.5363783887.

It can be divided in two parts, 860 and 79448, that added together give a palindrome (80308).

The spelling of 86079448 in words is "eighty-six million, seventy-nine thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 317 364 373 634 728 746 1268 1492 2219 2536 2611 2984 4121 4438 4849 5222 8242 8876 9698 10444 16484 17752 19396 20888 28847 32968 33943 38792 57694 67886 115388 118241 135772 230776 236482 271544 472964 827687 945928 1537133 1655374 3074266 3310748 6148532 6621496 10759931 12297064 21519862 43039724 86079448