Search a number
-
+
68793824 = 25112109163
BaseRepresentation
bin1000001100110…
…11010111100000
311210110002101102
410012123113200
5120102400244
610454253532
71463511041
oct406332740
9153402342
1068793824
1135917900
121b0572a8
1311338808
1491ca8c8
15608d54e
hex419b5e0

68793824 has 72 divisors (see below), whose sum is σ = 151157160. Its totient is φ = 30792960.

The previous prime is 68793799. The next prime is 68793847. The reversal of 68793824 is 42839786.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421967 + ... + 422129.

It is an arithmetic number, because the mean of its divisors is an integer number (2099405).

Almost surely, 268793824 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 68793824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75578580).

68793824 is an abundant number, since it is smaller than the sum of its proper divisors (82363336).

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

68793824 is a wasteful number, since it uses less digits than its factorization.

68793824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 68793824 is about 8294.2042415171. The cubic root of 68793824 is about 409.7476615034.

The spelling of 68793824 in words is "sixty-eight million, seven hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 121 163 176 218 242 326 352 436 484 652 872 968 1199 1304 1744 1793 1936 2398 2608 3488 3586 3872 4796 5216 7172 9592 13189 14344 17767 19184 19723 26378 28688 35534 38368 39446 52756 57376 71068 78892 105512 142136 157784 195437 211024 284272 315568 390874 422048 568544 631136 781748 1563496 2149807 3126992 4299614 6253984 8599228 17198456 34396912 68793824