Search a number
-
+
42243232 = 2517196167
BaseRepresentation
bin1010000100100…
…1010010100000
32221111011211011
42201021102200
541303240412
64105230304
71022030053
oct241112240
987434734
1042243232
1121932a69
1212192394
1389a08c5
145878a9a
153a967a7
hex28494a0

42243232 has 96 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 18247680.

The previous prime is 42243211. The next prime is 42243239. The reversal of 42243232 is 23234224.

It is not an unprimeable number, because it can be changed into a prime (42243239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630463 + ... + 630529.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 242243232 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 42243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440).

42243232 is an abundant number, since it is smaller than the sum of its proper divisors (53375648).

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

42243232 is a wasteful number, since it uses less digits than its factorization.

42243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its digits is 2304, while the sum is 22.

The square root of 42243232 is about 6499.4793637645. The cubic root of 42243232 is about 348.2723898988.

Adding to 42243232 its reverse (23234224), we get a palindrome (65477456).

The spelling of 42243232 in words is "forty-two million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 61 67 68 76 122 134 136 152 244 268 272 304 323 488 536 544 608 646 976 1037 1072 1139 1159 1273 1292 1952 2074 2144 2278 2318 2546 2584 4087 4148 4556 4636 5092 5168 8174 8296 9112 9272 10184 10336 16348 16592 18224 18544 19703 20368 21641 32696 33184 36448 37088 39406 40736 43282 65392 69479 77653 78812 86564 130784 138958 155306 157624 173128 277916 310612 315248 346256 555832 621224 630496 692512 1111664 1242448 1320101 2223328 2484896 2640202 5280404 10560808 21121616 42243232