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42032232 = 23321173727
BaseRepresentation
bin1010000001010…
…1110001101000
32221002110101100
42200111301220
541230012412
64100521400
71020160644
oct240256150
987073340
1042032232
11217a9490
12120b0260
138928858
145821c24
153a53edc
hex2815c68

42032232 has 96 divisors (see below), whose sum is σ = 126060480. Its totient is φ = 12545280.

The previous prime is 42032231. The next prime is 42032273. The reversal of 42032232 is 23223024.

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 (42032231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57453 + ... + 58179.

It is an arithmetic number, because the mean of its divisors is an integer number (1313130).

Almost surely, 242032232 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 42032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63030240).

42032232 is an abundant number, since it is smaller than the sum of its proper divisors (84028248).

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

42032232 is a wasteful number, since it uses less digits than its factorization.

42032232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42032232 is about 6483.2269742775. The cubic root of 42032232 is about 347.6915618238.

Adding to 42032232 its reverse (23223024), we get a palindrome (65255256).

The spelling of 42032232 in words is "forty-two million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 727 792 803 876 1314 1454 1606 1752 2181 2409 2628 2908 3212 4362 4818 5256 5816 6424 6543 7227 7997 8724 9636 13086 14454 15994 17448 19272 23991 26172 28908 31988 47982 52344 53071 57816 63976 71973 95964 106142 143946 159213 191928 212284 287892 318426 424568 477639 575784 583781 636852 955278 1167562 1273704 1751343 1910556 2335124 3502686 3821112 4670248 5254029 7005372 10508058 14010744 21016116 42032232