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78906282 = 23713178501
BaseRepresentation
bin1001011010000…
…00001110101010
312111110212001220
410231000032222
5130200000112
611455122510
71645456320
oct455001652
9174425056
1078906282
11405a4504
1222513436
1313469610
14a69dd10
156dd998c
hex4b403aa

78906282 has 64 divisors (see below), whose sum is σ = 205680384. Its totient is φ = 19584000.

The previous prime is 78906277. The next prime is 78906283. The reversal of 78906282 is 28260987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (78906283) 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 31 ways as a sum of consecutive naturals, for example, 5032 + ... + 13532.

It is an arithmetic number, because the mean of its divisors is an integer number (3213756).

Almost surely, 278906282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78906282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102840192).

78906282 is an abundant number, since it is smaller than the sum of its proper divisors (126774102).

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

78906282 is a wasteful number, since it uses less digits than its factorization.

78906282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 78906282 is about 8882.9208034295. The cubic root of 78906282 is about 428.9143008867.

The spelling of 78906282 in words is "seventy-eight million, nine hundred six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 4641 8501 9282 17002 25503 51006 59507 110513 119014 144517 178521 221026 289034 331539 357042 433551 663078 773591 867102 1011619 1547182 1878721 2023238 2320773 3034857 3757442 4641546 5636163 6069714 11272326 13151047 26302094 39453141 78906282