Search a number
-
+
78534848 = 267279317
BaseRepresentation
bin1001010111001…
…01100011000000
312110202222120002
410223211203000
5130101103343
611443135132
71642351400
oct453454300
9173688502
1078534848
1140370437
12223744a8
1313369532
14a604800
156d648b8
hex4ae58c0

78534848 has 84 divisors (see below), whose sum is σ = 184160160. Its totient is φ = 33126912.

The previous prime is 78534829. The next prime is 78534853. The reversal of 78534848 is 84843587.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247586 + ... + 247902.

Almost surely, 278534848 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 78534848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92080080).

78534848 is an abundant number, since it is smaller than the sum of its proper divisors (105625312).

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

78534848 is a wasteful number, since it uses less digits than its factorization.

78534848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its digits is 860160, while the sum is 47.

The square root of 78534848 is about 8861.9889415413. The cubic root of 78534848 is about 428.2402354691.

The spelling of 78534848 in words is "seventy-eight million, five hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 158 196 224 316 317 392 448 553 632 634 784 1106 1264 1268 1568 2212 2219 2528 2536 3136 3871 4424 4438 5056 5072 7742 8848 8876 10144 15484 15533 17696 17752 20288 25043 30968 31066 35392 35504 50086 61936 62132 71008 100172 123872 124264 142016 175301 200344 247744 248528 350602 400688 497056 701204 801376 994112 1227107 1402408 1602752 2454214 2804816 4908428 5609632 9816856 11219264 19633712 39267424 78534848