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79423680 = 2635753223
BaseRepresentation
bin1001011101111…
…10100011000000
312112110010210210
410232332203000
5130313024210
611514154120
71653042630
oct456764300
9175403723
1079423680
1140918206
1222722940
13135bac7b
14a7966c0
156e8ce20
hex4bbe8c0

79423680 has 224 divisors, whose sum is σ = 294948864. Its totient is φ = 17731584.

The previous prime is 79423661. The next prime is 79423681. The reversal of 79423680 is 8632497.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79423681) 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, 356049 + ... + 356271.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 279423680 is an apocalyptic number.

79423680 is a gapful number since it is divisible by the number (70) 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 79423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

79423680 is an abundant number, since it is smaller than the sum of its proper divisors (215525184).

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

79423680 is a wasteful number, since it uses less digits than its factorization.

79423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 79423680 is about 8911.9964093350. The cubic root of 79423680 is about 429.8497401798.

The spelling of 79423680 in words is "seventy-nine million, four hundred twenty-three thousand, six hundred eighty".