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42203532 = 2237372367
BaseRepresentation
bin1010000011111…
…1100110001100
32221102011100210
42200333212030
541301003112
64104322420
71021503240
oct240774614
987364323
1042203532
1121906158
1212173410
138988807
145868420
153a89b3c
hex283f98c

42203532 has 72 divisors (see below), whose sum is σ = 115981824. Its totient is φ = 11700288.

The previous prime is 42203531. The next prime is 42203543. The reversal of 42203532 is 23530224.

42203532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422035322 = 3562276226550048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42203499 and 42203508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203531) 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 23 ways as a sum of consecutive naturals, for example, 114813 + ... + 115179.

Almost surely, 242203532 is an apocalyptic number.

42203532 is a gapful number since it is divisible by the number (42) 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 42203532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57990912).

42203532 is an abundant number, since it is smaller than the sum of its proper divisors (73778292).

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

42203532 is a wasteful number, since it uses less digits than its factorization.

42203532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42203532 is about 6496.4245550918. The cubic root of 42203532 is about 348.1632540931.

Adding to 42203532 its reverse (23530224), we get a palindrome (65733756).

The spelling of 42203532 in words is "forty-two million, two hundred three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 367 444 518 734 777 1036 1101 1369 1468 1554 2202 2569 2738 3108 4107 4404 5138 5476 7707 8214 9583 10276 13579 15414 16428 19166 27158 28749 30828 38332 40737 54316 57498 81474 95053 114996 162948 190106 285159 380212 502423 570318 1004846 1140636 1507269 2009692 3014538 3516961 6029076 7033922 10550883 14067844 21101766 42203532