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78985360 = 2451397103
BaseRepresentation
bin1001011010100…
…11100010010000
312111121212112201
410231103202100
5130210012420
611500532544
71646236006
oct455234220
9174555481
1078985360
1140648963
1222551154
13134965cc
14a6c0a76
156e0310a
hex4b53890

78985360 has 40 divisors (see below), whose sum is σ = 184988160. Its totient is φ = 31362432.

The previous prime is 78985327. The next prime is 78985363. The reversal of 78985360 is 6358987.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 78985360.

It is not an unprimeable number, because it can be changed into a prime (78985363) 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 7 ways as a sum of consecutive naturals, for example, 7569 + ... + 14671.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704).

Almost surely, 278985360 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 78985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

78985360 is an abundant number, since it is smaller than the sum of its proper divisors (106002800).

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

78985360 is a wasteful number, since it uses less digits than its factorization.

78985360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 78985360 is about 8887.3708148136. The cubic root of 78985360 is about 429.0575356205.

The spelling of 78985360 in words is "seventy-eight million, nine hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 7103 11120 14206 28412 35515 56824 71030 113648 142060 284120 568240 987317 1974634 3949268 4936585 7898536 9873170 15797072 19746340 39492680 78985360