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78208 = 271347
BaseRepresentation
bin10011000110000000
310222021121
4103012000
510000313
61402024
7444004
oct230600
9128247
1078208
1153839
1239314
13297a0
1420704
151828d
hex13180

78208 has 32 divisors (see below), whose sum is σ = 171360. Its totient is φ = 35328.

The previous prime is 78203. The next prime is 78229. The reversal of 78208 is 80287.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×782082 = 12232982528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1641 + ... + 1687.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

278208 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 78208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

78208 is an abundant number, since it is smaller than the sum of its proper divisors (93152).

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

78208 is a wasteful number, since it uses less digits than its factorization.

78208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 78208 is about 279.6569326872. The cubic root of 78208 is about 42.7645322959.

The spelling of 78208 in words is "seventy-eight thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 1222 1504 1664 2444 3008 4888 6016 9776 19552 39104 78208