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78342726 = 237111511123
BaseRepresentation
bin1001010101101…
…10101001000110
312110102020000110
410222312221012
5130023431401
611435053450
71640621310
oct452665106
9173366013
1078342726
114024a060
12222a1286
13132ccc57
14a5947b0
156d279d6
hex4ab6a46

78342726 has 64 divisors (see below), whose sum is σ = 196816896. Its totient is φ = 20196000.

The previous prime is 78342721. The next prime is 78342743. The reversal of 78342726 is 62724387.

It is a super-2 number, since 2×783427262 = 12275165434222152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78342721) 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 31 ways as a sum of consecutive naturals, for example, 69201 + ... + 70323.

It is an arithmetic number, because the mean of its divisors is an integer number (3075264).

Almost surely, 278342726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78342726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98408448).

78342726 is an abundant number, since it is smaller than the sum of its proper divisors (118474170).

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

78342726 is a wasteful number, since it uses less digits than its factorization.

78342726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its digits is 112896, while the sum is 39.

The square root of 78342726 is about 8851.1426381005. The cubic root of 78342726 is about 427.8907449607.

The spelling of 78342726 in words is "seventy-eight million, three hundred forty-two thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 151 154 231 302 453 462 906 1057 1123 1661 2114 2246 3171 3322 3369 4983 6342 6738 7861 9966 11627 12353 15722 23254 23583 24706 34881 37059 47166 69762 74118 86471 169573 172942 259413 339146 508719 518826 1017438 1187011 1865303 2374022 3561033 3730606 5595909 7122066 11191818 13057121 26114242 39171363 78342726