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42656220 = 2235567131
BaseRepresentation
bin1010001010111…
…0000111011100
32222021011100000
42202232013130
541404444340
64122134300
71025400105
oct242560734
988234300
1042656220
1122095282
1212351390
138ab6889
1459453ac
153b28d30
hex28ae1dc

42656220 has 144 divisors (see below), whose sum is σ = 137225088. Its totient is φ = 11119680.

The previous prime is 42656219. The next prime is 42656249. The reversal of 42656220 is 2265624.

42656220 is a `hidden beast` number, since 4 + 2 + 656 + 2 + 2 + 0 = 666.

42656220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 325555 + ... + 325685.

It is an arithmetic number, because the mean of its divisors is an integer number (952952).

Almost surely, 242656220 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 42656220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68612544).

42656220 is an abundant number, since it is smaller than the sum of its proper divisors (94568868).

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

42656220 is a wasteful number, since it uses less digits than its factorization.

42656220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42656220 is about 6531.1729421292. The cubic root of 42656220 is about 349.4036648044.

The spelling of 42656220 in words is "forty-two million, six hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 131 134 135 162 180 201 243 262 268 270 324 335 393 402 405 486 524 540 603 655 670 786 804 810 972 1005 1179 1206 1215 1310 1340 1572 1620 1809 1965 2010 2358 2412 2430 2620 3015 3537 3618 3930 4020 4716 4860 5427 5895 6030 7074 7236 7860 8777 9045 10611 10854 11790 12060 14148 16281 17554 17685 18090 21222 21708 23580 26331 27135 31833 32562 35108 35370 36180 42444 43885 52662 53055 54270 63666 65124 70740 78993 81405 87770 105324 106110 108540 127332 131655 157986 159165 162810 175540 212220 236979 263310 315972 318330 325620 394965 473958 526620 636660 710937 789930 947916 1184895 1421874 1579860 2132811 2369790 2843748 3554685 4265622 4739580 7109370 8531244 10664055 14218740 21328110 42656220