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42368300 = 225213223109
BaseRepresentation
bin1010000110011…
…1110100101100
32221201112101022
42201213310230
541321241200
64112033312
71023060512
oct241476454
987645338
1042368300
1121a08a27
1212232838
138a15800
1458ac4b2
153abd885
hex2867d2c

42368300 has 108 divisors (see below), whose sum is σ = 104837040. Its totient is φ = 14826240.

The previous prime is 42368297. The next prime is 42368303. The reversal of 42368300 is 386324.

42368300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42368297) and next prime (42368303).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42368300.

It is not an unprimeable number, because it can be changed into a prime (42368303) 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 35 ways as a sum of consecutive naturals, for example, 388646 + ... + 388754.

Almost surely, 242368300 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 42368300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52418520).

42368300 is an abundant number, since it is smaller than the sum of its proper divisors (62468740).

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

42368300 is a wasteful number, since it uses less digits than its factorization.

42368300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 42368300 is about 6509.0936389024. The cubic root of 42368300 is about 348.6157570542.

The spelling of 42368300 in words is "forty-two million, three hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 109 115 130 169 218 230 260 299 325 338 436 460 545 575 598 650 676 845 1090 1150 1196 1300 1417 1495 1690 2180 2300 2507 2725 2834 2990 3380 3887 4225 5014 5450 5668 5980 7085 7475 7774 8450 10028 10900 12535 14170 14950 15548 16900 18421 19435 25070 28340 29900 32591 35425 36842 38870 50140 62675 65182 70850 73684 77740 92105 97175 125350 130364 141700 162955 184210 194350 250700 325910 368420 388700 423683 460525 651820 814775 847366 921050 1629550 1694732 1842100 2118415 3259100 4236830 8473660 10592075 21184150 42368300