Search a number
-
+
78432848 = 24134771113
BaseRepresentation
bin1001010110011…
…00101001010000
312110120210122022
410223030221100
5130034322343
611441031012
71641445124
oct453145120
9173523568
1078432848
114030083a
1222325468
1313331c90
14a5b9584
156d44568
hex4acca50

78432848 has 80 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 34621440.

The previous prime is 78432839. The next prime is 78432881. The reversal of 78432848 is 84823487.

It is a super-2 number, since 2×784328482 = 12303423290782208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78432799 and 78432808.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 694040 + ... + 694152.

Almost surely, 278432848 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 78432848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

78432848 is an abundant number, since it is smaller than the sum of its proper divisors (92556208).

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

78432848 is a wasteful number, since it uses less digits than its factorization.

78432848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 344064, while the sum is 44.

The square root of 78432848 is about 8856.2321559453. The cubic root of 78432848 is about 428.0547576024.

The spelling of 78432848 in words is "seventy-eight million, four hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 47 52 71 94 104 113 142 188 208 226 284 376 452 568 611 752 904 923 1136 1222 1469 1808 1846 2444 2938 3337 3692 4888 5311 5876 6674 7384 8023 9776 10622 11752 13348 14768 16046 21244 23504 26696 32092 42488 43381 53392 64184 69043 84976 86762 104299 128368 138086 173524 208598 276172 347048 377081 417196 552344 694096 754162 834392 1104688 1508324 1668784 3016648 4902053 6033296 9804106 19608212 39216424 78432848