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78966240 = 2535164513
BaseRepresentation
bin1001011010011…
…10110111100000
312111120220022120
410231032313200
5130203404430
611500304240
71646126163
oct455166740
9174526276
1078966240
1140635561
1222542080
131348a9b2
14a6b7ada
156dec610
hex4b4ede0

78966240 has 48 divisors (see below), whose sum is σ = 248745168. Its totient is φ = 21057536.

The previous prime is 78966227. The next prime is 78966247. The reversal of 78966240 is 4266987.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 78966192 and 78966201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78966247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81777 + ... + 82736.

It is an arithmetic number, because the mean of its divisors is an integer number (5182191).

Almost surely, 278966240 is an apocalyptic number.

It is an amenable number.

78966240 is an abundant number, since it is smaller than the sum of its proper divisors (169778928).

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

78966240 is a wasteful number, since it uses less digits than its factorization.

78966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164531 (or 164523 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 78966240 is about 8886.2950659991. The cubic root of 78966240 is about 429.0229121488.

The spelling of 78966240 in words is "seventy-eight million, nine hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 164513 329026 493539 658052 822565 987078 1316104 1645130 1974156 2467695 2632208 3290260 3948312 4935390 5264416 6580520 7896624 9870780 13161040 15793248 19741560 26322080 39483120 78966240