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78063104 = 29723947
BaseRepresentation
bin1001010011100…
…10011000000000
312102220000110002
410221302120000
5124441004404
611425055132
71635345140
oct451623000
9172800402
1078063104
1140078a69
12221874a8
13132328b2
14a520920
156cbec1e
hex4a72600

78063104 has 80 divisors (see below), whose sum is σ = 186202368. Its totient is φ = 31967232.

The previous prime is 78063101. The next prime is 78063119. The reversal of 78063104 is 40136087.

It is a super-2 number, since 2×780631042 = 12187696412229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78063101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81959 + ... + 82905.

Almost surely, 278063104 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 78063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93101184).

78063104 is an abundant number, since it is smaller than the sum of its proper divisors (108139264).

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

78063104 is an equidigital number, since it uses as much as digits as its factorization.

78063104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 78063104 is about 8835.3327045449. The cubic root of 78063104 is about 427.3810601253.

The spelling of 78063104 in words is "seventy-eight million, sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 947 1288 1472 1792 1894 2576 2944 3584 3788 5152 5888 6629 7576 10304 11776 13258 15152 20608 21781 26516 30304 41216 43562 53032 60608 82432 87124 106064 121216 152467 174248 212128 242432 304934 348496 424256 484864 609868 696992 848512 1219736 1393984 1697024 2439472 2787968 3394048 4878944 5575936 9757888 11151872 19515776 39031552 78063104