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78873288 = 23313733463
BaseRepresentation
bin1001011001110…
…00001011001000
312111102011210220
410230320023020
5130142421123
611454310040
71645261164
oct454701310
9174364726
1078873288
114058173a
12224b8320
13134575b0
14a691ca4
156dcece3
hex4b382c8

78873288 has 64 divisors (see below), whose sum is σ = 215322240. Its totient is φ = 23929344.

The previous prime is 78873281. The next prime is 78873329. The reversal of 78873288 is 88237887.

It is a happy number.

It is a super-3 number, since 3×788732883 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78873288.

It is not an unprimeable number, because it can be changed into a prime (78873281) 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 15 ways as a sum of consecutive naturals, for example, 21045 + ... + 24507.

It is an arithmetic number, because the mean of its divisors is an integer number (3364410).

Almost surely, 278873288 is an apocalyptic number.

78873288 is a gapful number since it is divisible by the number (78) 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 78873288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107661120).

78873288 is an abundant number, since it is smaller than the sum of its proper divisors (136448952).

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

78873288 is a wasteful number, since it uses less digits than its factorization.

78873288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3554 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 51.

The square root of 78873288 is about 8881.0634498353. The cubic root of 78873288 is about 428.8545102465.

It can be divided in two parts, 7887 and 3288, that added together give a triangular number (11175 = T149).

The spelling of 78873288 in words is "seventy-eight million, eight hundred seventy-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3463 3796 5694 6926 7592 10389 11388 13852 20778 22776 27704 41556 45019 83112 90038 135057 180076 252799 270114 360152 505598 540228 758397 1011196 1080456 1516794 2022392 3033588 3286387 6067176 6572774 9859161 13145548 19718322 26291096 39436644 78873288