Search a number
-
+
78445376 = 2619312081
BaseRepresentation
bin1001010110011…
…11101101000000
312110121102211022
410223033231000
5130040223001
611441205012
71641526502
oct453175500
9173542738
1078445376
114030a199
1222330768
13133378a9
14a5bdd72
156d4811b
hex4acfb40

78445376 has 56 divisors (see below), whose sum is σ = 169224960. Its totient is φ = 35942400.

The previous prime is 78445363. The next prime is 78445399. The reversal of 78445376 is 67354487.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36656 + ... + 38736.

Almost surely, 278445376 is an apocalyptic number.

78445376 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84612480).

78445376 is an abundant number, since it is smaller than the sum of its proper divisors (90779584).

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

78445376 is a wasteful number, since it uses less digits than its factorization.

78445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2133 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 78445376 is about 8856.9394262352. The cubic root of 78445376 is about 428.0775473078.

The spelling of 78445376 in words is "seventy-eight million, four hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 589 608 992 1178 1216 1984 2081 2356 4162 4712 8324 9424 16648 18848 33296 37696 39539 64511 66592 79078 129022 133184 158156 258044 316312 516088 632624 1032176 1225709 1265248 2064352 2451418 2530496 4128704 4902836 9805672 19611344 39222688 78445376