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78795940 = 22537233457
BaseRepresentation
bin1001011001001…
…01010010100100
312111021020201011
410230211102210
5130132432230
611452512004
71644516526
oct454452244
9174236634
1078795940
1140529613
122247b604
131342b322
14a671a16
156db6e2a
hex4b254a4

78795940 has 48 divisors (see below), whose sum is σ = 171046512. Its totient is φ = 30468096.

The previous prime is 78795911. The next prime is 78795989. The reversal of 78795940 is 4959787.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3175524 + 75620416 = 1782^2 + 8696^2 .

It is an unprimeable number.

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, 172192 + ... + 172648.

It is an arithmetic number, because the mean of its divisors is an integer number (3563469).

Almost surely, 278795940 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 78795940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85523256).

78795940 is an abundant number, since it is smaller than the sum of its proper divisors (92250572).

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

78795940 is a wasteful number, since it uses less digits than its factorization.

78795940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The square root of 78795940 is about 8876.7077230243. The cubic root of 78795940 is about 428.7142773548.

The spelling of 78795940 in words is "seventy-eight million, seven hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 233 370 457 466 740 914 932 1165 1828 2285 2330 4570 4660 8621 9140 16909 17242 33818 34484 43105 67636 84545 86210 106481 169090 172420 212962 338180 425924 532405 1064810 2129620 3939797 7879594 15759188 19698985 39397970 78795940