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42785340 = 223513192887
BaseRepresentation
bin1010001100110…
…1101000111100
32222111201110020
42203031220330
541423112330
64125012140
71026445413
oct243155074
988451406
1042785340
1122173294
12123b4050
138b30590
14597a47a
153b52210
hex28cda3c

42785340 has 96 divisors (see below), whose sum is σ = 135851520. Its totient is φ = 9974016.

The previous prime is 42785299. The next prime is 42785389. The reversal of 42785340 is 4358724.

42785340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 13377 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (1415120).

Almost surely, 242785340 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 42785340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67925760).

42785340 is an abundant number, since it is smaller than the sum of its proper divisors (93066180).

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

42785340 is a wasteful number, since it uses less digits than its factorization.

42785340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 42785340 is about 6541.0503743665. The cubic root of 42785340 is about 349.7558569481.

The spelling of 42785340 in words is "forty-two million, seven hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2887 2964 3705 4940 5774 7410 8661 11548 14435 14820 17322 28870 34644 37531 43305 54853 57740 75062 86610 109706 112593 150124 164559 173220 187655 219412 225186 274265 329118 375310 450372 548530 562965 658236 713089 750620 822795 1097060 1125930 1426178 1645590 2139267 2251860 2852356 3291180 3565445 4278534 7130890 8557068 10696335 14261780 21392670 42785340