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78076096 = 267612857
BaseRepresentation
bin1001010011101…
…01100011000000
312102220200021021
410221311203000
5124441413341
611425235224
71635431050
oct451654300
9172820237
1078076096
11400877aa
1222192b14
1313238797
14a525560
156cc39d1
hex4a758c0

78076096 has 56 divisors (see below), whose sum is σ = 180031136. Its totient is φ = 32901120.

The previous prime is 78076093. The next prime is 78076109. The reversal of 78076096 is 69067087.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (78076093) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25900 + ... + 28756.

Almost surely, 278076096 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 78076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90015568).

78076096 is an abundant number, since it is smaller than the sum of its proper divisors (101955040).

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

78076096 is a wasteful number, since it uses less digits than its factorization.

78076096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 78076096 is about 8836.0679037681. The cubic root of 78076096 is about 427.4047684093.

Subtracting from 78076096 its reverse (69067087), we obtain a palindrome (9009009).

The spelling of 78076096 in words is "seventy-eight million, seventy-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 2857 3416 3904 5714 6832 11428 13664 19999 22856 27328 39998 45712 79996 91424 159992 174277 182848 319984 348554 639968 697108 1219939 1279936 1394216 2439878 2788432 4879756 5576864 9759512 11153728 19519024 39038048 78076096