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78899040 = 253251117293
BaseRepresentation
bin1001011001111…
…10011101100000
312111110111010200
410230332131200
5130144232130
611455025200
71645426233
oct454763540
9174414120
1078899040
114059a020
122250b200
131346622c
14a69b41a
156dd7760
hex4b3e760

78899040 has 288 divisors, whose sum is σ = 312058656. Its totient is φ = 17940480.

The previous prime is 78899021. The next prime is 78899063. The reversal of 78899040 is 4099887.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269134 + ... + 269426.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 278899040 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 78899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156029328).

78899040 is an abundant number, since it is smaller than the sum of its proper divisors (233159616).

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

78899040 is a wasteful number, since it uses less digits than its factorization.

78899040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 78899040 is about 8882.5131578850. The cubic root of 78899040 is about 428.9011786007.

The spelling of 78899040 in words is "seventy-eight million, eight hundred ninety-nine thousand, forty".