Search a number
-
+
78063832 = 23711353359
BaseRepresentation
bin1001010011100…
…10100011011000
312102220001110001
410221302203120
5124441020312
611425102344
71635350230
oct451624330
9172801401
1078063832
1140079570
12221879b4
1313233022
14a520cc0
156cc0057
hex4a728d8

78063832 has 64 divisors (see below), whose sum is σ = 183513600. Its totient is φ = 30243840.

The previous prime is 78063827. The next prime is 78063857. The reversal of 78063832 is 23836087.

It is a junction number, because it is equal to n+sod(n) for n = 78063791 and 78063800.

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, 217269 + ... + 217627.

It is an arithmetic number, because the mean of its divisors is an integer number (2867400).

Almost surely, 278063832 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 78063832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91756800).

78063832 is an abundant number, since it is smaller than the sum of its proper divisors (105449768).

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

78063832 is a wasteful number, since it uses less digits than its factorization.

78063832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 78063832 is about 8835.3739026710. The cubic root of 78063832 is about 427.3823886763.

The spelling of 78063832 in words is "seventy-eight million, sixty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 353 359 616 706 718 1412 1436 2471 2513 2824 2872 3883 3949 4942 5026 7766 7898 9884 10052 15532 15796 19768 20104 27181 27643 31064 31592 54362 55286 108724 110572 126727 217448 221144 253454 506908 887089 1013816 1393997 1774178 2787994 3548356 5575988 7096712 9757979 11151976 19515958 39031916 78063832