Search a number
-
+
78171104 = 25111371621
BaseRepresentation
bin1001010100011…
…00101111100000
312110002111121002
410222030233200
5130002433404
611431251132
71636305044
oct452145740
9173074532
1078171104
1140142120
1222219aa8
131326cabb
14a54c024
156ce1c1e
hex4a8cbe0

78171104 has 48 divisors (see below), whose sum is σ = 169220016. Its totient is φ = 35251200.

The previous prime is 78171091. The next prime is 78171127. The reversal of 78171104 is 40117187.

It is a super-2 number, since 2×781711042 = 12221443001157632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47414 + ... + 49034.

It is an arithmetic number, because the mean of its divisors is an integer number (3525417).

Almost surely, 278171104 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 78171104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84610008).

78171104 is an abundant number, since it is smaller than the sum of its proper divisors (91048912).

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

78171104 is a wasteful number, since it uses less digits than its factorization.

78171104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 29.

The square root of 78171104 is about 8841.4424162577. The cubic root of 78171104 is about 427.5780626458.

The spelling of 78171104 in words is "seventy-eight million, one hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 1621 2192 3014 3242 4384 6028 6484 12056 12968 17831 24112 25936 35662 48224 51872 71324 142648 222077 285296 444154 570592 888308 1776616 2442847 3553232 4885694 7106464 9771388 19542776 39085552 78171104