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78093834 = 23713281509
BaseRepresentation
bin1001010011110…
…01111000001010
312102221120121020
410221321320022
5124443000314
611425453310
71635533550
oct451717012
9172846536
1078093834
114009a065
12221a1236
1313243890
14a52bbd0
156cc8da9
hex4a79e0a

78093834 has 64 divisors (see below), whose sum is σ = 193294080. Its totient is φ = 20482560.

The previous prime is 78093833. The next prime is 78093853. The reversal of 78093834 is 43839087.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (78093833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153172 + ... + 153680.

It is an arithmetic number, because the mean of its divisors is an integer number (3020220).

Almost surely, 278093834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78093834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96647040).

78093834 is an abundant number, since it is smaller than the sum of its proper divisors (115200246).

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

78093834 is a wasteful number, since it uses less digits than its factorization.

78093834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 78093834 is about 8837.0715737737. The cubic root of 78093834 is about 427.4371331240.

The spelling of 78093834 in words is "seventy-eight million, ninety-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 281 509 546 562 843 1018 1527 1686 1967 3054 3563 3653 3934 5901 6617 7126 7306 10689 10959 11802 13234 19851 21378 21918 25571 39702 46319 51142 76713 92638 138957 143029 153426 277914 286058 429087 858174 1001203 1859377 2002406 3003609 3718754 5578131 6007218 11156262 13015639 26031278 39046917 78093834