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42522780 = 22351747887
BaseRepresentation
bin1010001000110…
…1100010011100
32222000101021210
42202031202130
541341212110
64115224420
71024303056
oct242154234
988011253
1042522780
1122003aa3
12122a8110
138a6ac11
14590c8d6
153aee520
hex288d89c

42522780 has 96 divisors (see below), whose sum is σ = 128894976. Its totient is φ = 10433536.

The previous prime is 42522761. The next prime is 42522803. The reversal of 42522780 is 8722524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 47497 + ... + 48383.

It is an arithmetic number, because the mean of its divisors is an integer number (1342656).

Almost surely, 242522780 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 42522780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64447488).

42522780 is an abundant number, since it is smaller than the sum of its proper divisors (86372196).

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

42522780 is a wasteful number, since it uses less digits than its factorization.

42522780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42522780 is about 6520.9493173924. The cubic root of 42522780 is about 349.0389416951.

The spelling of 42522780 in words is "forty-two million, five hundred twenty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 887 940 1020 1410 1598 1774 2397 2661 2820 3196 3548 3995 4435 4794 5322 7990 8870 9588 10644 11985 13305 15079 15980 17740 23970 26610 30158 41689 45237 47940 53220 60316 75395 83378 90474 125067 150790 166756 180948 208445 226185 250134 301580 416890 452370 500268 625335 708713 833780 904740 1250670 1417426 2126139 2501340 2834852 3543565 4252278 7087130 8504556 10630695 14174260 21261390 42522780