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42287232 = 2731343197
BaseRepresentation
bin1010000101010…
…0000010000000
32221120102011210
42201110002000
541311142412
64110210120
71022302251
oct241240200
987512153
1042287232
1121963029
12121b3940
1389b7940
14588ab28
153aa483c
hex2854080

42287232 has 128 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 12644352.

The previous prime is 42287227. The next prime is 42287233. The reversal of 42287232 is 23278224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 42287232.

It is not an unprimeable number, because it can be changed into a prime (42287233) 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, 214558 + ... + 214754.

Almost surely, 242287232 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 42287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

42287232 is an abundant number, since it is smaller than the sum of its proper divisors (82120128).

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

42287232 is a wasteful number, since it uses less digits than its factorization.

42287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 42287232 is about 6502.8633693166. The cubic root of 42287232 is about 348.3932666017.

The spelling of 42287232 in words is "forty-two million, two hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 197 208 258 312 344 384 394 416 516 559 591 624 688 788 832 1032 1118 1182 1248 1376 1576 1664 1677 2064 2236 2364 2496 2561 2752 3152 3354 4128 4472 4728 4992 5122 5504 6304 6708 7683 8256 8471 8944 9456 10244 12608 13416 15366 16512 16942 17888 18912 20488 25216 25413 26832 30732 33884 35776 37824 40976 50826 53664 61464 67768 71552 75648 81952 101652 107328 110123 122928 135536 163904 203304 214656 220246 245856 271072 327808 330369 406608 440492 491712 542144 660738 813216 880984 983424 1084288 1321476 1626432 1761968 2642952 3252864 3523936 5285904 7047872 10571808 14095744 21143616 42287232