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42267500 = 2254112953
BaseRepresentation
bin1010000100111…
…1001101101100
32221112102002222
42201033031230
541310030000
64105534512
71022160602
oct241171554
987472088
1042267500
112194a220
12121a4438
1389ab972
145883872
153a9da85
hex284f36c

42267500 has 120 divisors (see below), whose sum is σ = 106278480. Its totient is φ = 14560000.

The previous prime is 42267499. The next prime is 42267503. The reversal of 42267500 is 576224.

42267500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42267500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42267503) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 797474 + ... + 797526.

It is an arithmetic number, because the mean of its divisors is an integer number (885654).

Almost surely, 242267500 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 42267500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53139240).

42267500 is an abundant number, since it is smaller than the sum of its proper divisors (64010980).

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

42267500 is a wasteful number, since it uses less digits than its factorization.

42267500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 42267500 is about 6501.3460144804. The cubic root of 42267500 is about 348.3390692695.

The spelling of 42267500 in words is "forty-two million, two hundred sixty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 53 55 58 100 106 110 116 125 145 212 220 250 265 275 290 319 500 530 550 580 583 625 638 725 1060 1100 1166 1250 1276 1325 1375 1450 1537 1595 2332 2500 2650 2750 2900 2915 3074 3190 3625 5300 5500 5830 6148 6380 6625 6875 7250 7685 7975 11660 13250 13750 14500 14575 15370 15950 16907 18125 26500 27500 29150 30740 31900 33125 33814 36250 38425 39875 58300 66250 67628 72500 72875 76850 79750 84535 132500 145750 153700 159500 169070 192125 199375 291500 338140 364375 384250 398750 422675 728750 768500 797500 845350 960625 1457500 1690700 1921250 2113375 3842500 4226750 8453500 10566875 21133750 42267500