Search a number
-
+
79026948 = 2233711131743
BaseRepresentation
bin1001011010111…
…01101100000100
312111200222121000
410231131230010
5130212330243
611501453300
71646501160
oct455355404
9174628530
1079026948
1140677130
1222571230
13134ac510
14a6d1ca0
156e105d3
hex4b5db04

79026948 has 384 divisors, whose sum is σ = 298045440. Its totient is φ = 17418240.

The previous prime is 79026923. The next prime is 79026949. The reversal of 79026948 is 84962097.

It is a happy number.

79026948 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

79026948 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (79026949) 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 127 ways as a sum of consecutive naturals, for example, 1837815 + ... + 1837857.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 279026948 is an apocalyptic number.

79026948 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79026948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

79026948 is an abundant number, since it is smaller than the sum of its proper divisors (219018492).

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

79026948 is a wasteful number, since it uses less digits than its factorization.

79026948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 79026948 is about 8889.7102314980. The cubic root of 79026948 is about 429.1328260033.

The spelling of 79026948 in words is "seventy-nine million, twenty-six thousand, nine hundred forty-eight".