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78290640 = 24325195997
BaseRepresentation
bin1001010101010…
…01111011010000
312110022120120100
410222221323100
5130020300030
611434012400
71640313411
oct452517320
9173276510
1078290640
1140213a0a
1222277100
13132b232c
14a57d808
156d17360
hex4aa9ed0

78290640 has 240 divisors, whose sum is σ = 284356800. Its totient is φ = 19243008.

The previous prime is 78290603. The next prime is 78290647. The reversal of 78290640 is 4609287.

78290640 is a `hidden beast` number, since 7 + 8 + 2 + 9 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×782906402 = 12258848623219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78290595 and 78290604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78290647) 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 47 ways as a sum of consecutive naturals, for example, 807072 + ... + 807168.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 278290640 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 78290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

78290640 is an abundant number, since it is smaller than the sum of its proper divisors (206066160).

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

78290640 is a wasteful number, since it uses less digits than its factorization.

78290640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78290640 is about 8848.1998169119. The cubic root of 78290640 is about 427.7958965108.

The spelling of 78290640 in words is "seventy-eight million, two hundred ninety thousand, six hundred forty".