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42031332 = 22337531049
BaseRepresentation
bin1010000001010…
…1100011100100
32221002102011000
42200111203210
541230000312
64100513300
71020155220
oct240254344
987072130
1042031332
11217a8842
12120ab830
138928315
145821780
153a53adc
hex28158e4

42031332 has 96 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 11771136.

The previous prime is 42031331. The next prime is 42031333. The reversal of 42031332 is 23313024.

It is an interprime number because it is at equal distance from previous prime (42031331) and next prime (42031333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42031331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39544 + ... + 40592.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 242031332 is an apocalyptic number.

42031332 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 42031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

42031332 is an abundant number, since it is smaller than the sum of its proper divisors (84976668).

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

42031332 is a wasteful number, since it uses less digits than its factorization.

42031332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42031332 is about 6483.1575640270. The cubic root of 42031332 is about 347.6890801994.

Adding to 42031332 its reverse (23313024), we get a palindrome (65344356).

The spelling of 42031332 in words is "forty-two million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1049 1113 1431 1484 1908 2098 2226 2862 3147 3339 4196 4452 5724 6294 6678 7343 9441 10017 12588 13356 14686 18882 20034 22029 28323 29372 37764 40068 44058 55597 56646 66087 88116 111194 113292 132174 166791 198261 222388 264348 333582 389179 396522 500373 667164 778358 793044 1000746 1167537 1501119 1556716 2001492 2335074 3002238 3502611 4670148 6004476 7005222 10507833 14010444 21015666 42031332