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79244928 = 2732731317
BaseRepresentation
bin1001011100100…
…10111010000000
312112010001121100
410232102322000
5130241314203
611510254400
71651366530
oct456227200
9175101540
1079244928
1140805984
1222657400
13135577b9
14a74b4c0
156e54ea3
hex4b92e80

79244928 has 192 divisors, whose sum is σ = 269867520. Its totient is φ = 21841920.

The previous prime is 79244887. The next prime is 79244929. The reversal of 79244928 is 82944297.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×792449282 = 12559517227450368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (79244929) 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 23 ways as a sum of consecutive naturals, for example, 249826 + ... + 250142.

It is an arithmetic number, because the mean of its divisors is an integer number (1405560).

Almost surely, 279244928 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 79244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134933760).

79244928 is an abundant number, since it is smaller than the sum of its proper divisors (190622592).

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

79244928 is a wasteful number, since it uses less digits than its factorization.

79244928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 79244928 is about 8901.9620309233. The cubic root of 79244928 is about 429.5270227567.

The spelling of 79244928 in words is "seventy-nine million, two hundred forty-four thousand, nine hundred twenty-eight".