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42203400 = 23352312269
BaseRepresentation
bin1010000011111…
…1100100001000
32221102011011220
42200333210020
541301002100
64104322040
71021502661
oct240774410
987364156
1042203400
1121906048
1212173320
138988735
145868368
153a89aa0
hex283f908

42203400 has 96 divisors (see below), whose sum is σ = 135110400. Its totient is φ = 10886400.

The previous prime is 42203393. The next prime is 42203407. The reversal of 42203400 is 430224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42203393) and next prime (42203407).

It is a super-2 number, since 2×422034002 = 3562253943120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42203400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17466 + ... + 19734.

It is an arithmetic number, because the mean of its divisors is an integer number (1407400).

Almost surely, 242203400 is an apocalyptic number.

42203400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67555200).

42203400 is an abundant number, since it is smaller than the sum of its proper divisors (92907000).

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

42203400 is a wasteful number, since it uses less digits than its factorization.

42203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42203400 is about 6496.4143956493. The cubic root of 42203400 is about 348.1628911093.

Adding to 42203400 its reverse (430224), we get a palindrome (42633624).

The spelling of 42203400 in words is "forty-two million, two hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2269 2325 3100 3720 4538 4650 6200 6807 9076 9300 11345 13614 18152 18600 22690 27228 34035 45380 54456 56725 68070 70339 90760 113450 136140 140678 170175 211017 226900 272280 281356 340350 351695 422034 453800 562712 680700 703390 844068 1055085 1361400 1406780 1688136 1758475 2110170 2813560 3516950 4220340 5275425 7033900 8440680 10550850 14067800 21101700 42203400