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78905344 = 218743
BaseRepresentation
bin1001011010000…
…00000000000000
312111110210210011
410231000000000
5130144432334
611455114304
71645453510
oct455000000
9174423704
1078905344
11405a3831
1222512994
131346906b
14a69d840
156dd9564
hex4b40000

78905344 has 76 divisors (see below), whose sum is σ = 184549024. Its totient is φ = 33030144.

The previous prime is 78905303. The next prime is 78905363. The reversal of 78905344 is 44350987.

It is a junction number, because it is equal to n+sod(n) for n = 78905297 and 78905306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1834987 + ... + 1835029.

Almost surely, 278905344 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 78905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92274512).

78905344 is an abundant number, since it is smaller than the sum of its proper divisors (105643680).

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

78905344 is an frugal number, since it uses more digits than its factorization.

78905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 78905344 is about 8882.8680053235. The cubic root of 78905344 is about 428.9126013042.

The spelling of 78905344 in words is "seventy-eight million, nine hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 602 688 896 1024 1204 1376 1792 2048 2408 2752 3584 4096 4816 5504 7168 8192 9632 11008 14336 16384 19264 22016 28672 32768 38528 44032 57344 65536 77056 88064 114688 131072 154112 176128 229376 262144 308224 352256 458752 616448 704512 917504 1232896 1409024 1835008 2465792 2818048 4931584 5636096 9863168 11272192 19726336 39452672 78905344