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42778740 = 2235898011
BaseRepresentation
bin1010001100110…
…0000001110100
32222111101101210
42203030001310
541422404430
64124521420
71026420234
oct243140164
988441353
1042778740
1122169334
12123b0270
138b2a584
145977cc4
153b502b0
hex28cc074

42778740 has 48 divisors (see below), whose sum is σ = 121141440. Its totient is φ = 11278080.

The previous prime is 42778739. The next prime is 42778777. The reversal of 42778740 is 4787724.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335 + ... + 9345.

It is an arithmetic number, because the mean of its divisors is an integer number (2523780).

Almost surely, 242778740 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 42778740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60570720).

42778740 is an abundant number, since it is smaller than the sum of its proper divisors (78362700).

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

42778740 is a wasteful number, since it uses less digits than its factorization.

42778740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 42778740 is about 6540.5458487805. The cubic root of 42778740 is about 349.7378717585.

The spelling of 42778740 in words is "forty-two million, seven hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 8011 16022 24033 32044 40055 48066 80110 96132 120165 160220 240330 480660 712979 1425958 2138937 2851916 3564895 4277874 7129790 8555748 10694685 14259580 21389370 42778740