Search a number
-
+
78092064 = 25322631031
BaseRepresentation
bin1001010011110…
…01011100100000
312102221111011200
410221321130200
5124442421224
611425441200
71635525441
oct451713440
9172844150
1078092064
11400987a6
12221a0200
1313242b2b
14a52b2c8
156cc85c9
hex4a79720

78092064 has 72 divisors (see below), whose sum is σ = 223134912. Its totient is φ = 25906560.

The previous prime is 78092011. The next prime is 78092083. The reversal of 78092064 is 46029087.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75229 + ... + 76259.

It is an arithmetic number, because the mean of its divisors is an integer number (3099096).

Almost surely, 278092064 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 78092064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111567456).

78092064 is an abundant number, since it is smaller than the sum of its proper divisors (145042848).

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

78092064 is a wasteful number, since it uses less digits than its factorization.

78092064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78092064 is about 8836.9714269087. The cubic root of 78092064 is about 427.4339038062.

The spelling of 78092064 in words is "seventy-eight million, ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 263 288 526 789 1031 1052 1578 2062 2104 2367 3093 3156 4124 4208 4734 6186 6312 8248 8416 9279 9468 12372 12624 16496 18558 18936 24744 25248 32992 37116 37872 49488 74232 75744 98976 148464 271153 296928 542306 813459 1084612 1626918 2169224 2440377 3253836 4338448 4880754 6507672 8676896 9761508 13015344 19523016 26030688 39046032 78092064