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78225912 = 2334611979
BaseRepresentation
bin1001010100110…
…10000111111000
312110012021210000
410222122013320
5130011212122
611432353000
71636623612
oct452320770
9173167700
1078225912
114017a316
1222245760
131328ba2b
14a563db2
156d030ac
hex4a9a1f8

78225912 has 80 divisors (see below), whose sum is σ = 222809400. Its totient is φ = 25634880.

The previous prime is 78225893. The next prime is 78225913. The reversal of 78225912 is 21952287.

It is a super-2 number, since 2×782259122 = 12238586616463488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78225913) 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 19 ways as a sum of consecutive naturals, for example, 38539 + ... + 40517.

Almost surely, 278225912 is an apocalyptic number.

78225912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78225912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111404700).

78225912 is an abundant number, since it is smaller than the sum of its proper divisors (144583488).

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

78225912 is a wasteful number, since it uses less digits than its factorization.

78225912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2045 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 78225912 is about 8844.5413674198. The cubic root of 78225912 is about 427.6779683760.

The spelling of 78225912 in words is "seventy-eight million, two hundred twenty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 1979 2196 3294 3958 4392 4941 5937 6588 7916 9882 11874 13176 15832 17811 19764 23748 35622 39528 47496 53433 71244 106866 120719 142488 160299 213732 241438 320598 362157 427464 482876 641196 724314 965752 1086471 1282392 1448628 2172942 2897256 3259413 4345884 6518826 8691768 9778239 13037652 19556478 26075304 39112956 78225912