Search a number
-
+
42745032 = 233211311741
BaseRepresentation
bin1010001100001…
…1110011001000
32222102200011100
42203003303020
541420320112
64124101400
71026220041
oct243036310
988380140
1042745032
1122145a80
1212394860
138b18125
1459698c8
153b452dc
hex28c3cc8

42745032 has 96 divisors (see below), whose sum is σ = 130440960. Its totient is φ = 12528000.

The previous prime is 42745019. The next prime is 42745037. The reversal of 42745032 is 23054724.

It is a junction number, because it is equal to n+sod(n) for n = 42744987 and 42745005.

It is not an unprimeable number, because it can be changed into a prime (42745037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23682 + ... + 25422.

It is an arithmetic number, because the mean of its divisors is an integer number (1358760).

Almost surely, 242745032 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 42745032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65220480).

42745032 is an abundant number, since it is smaller than the sum of its proper divisors (87695928).

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

42745032 is a wasteful number, since it uses less digits than its factorization.

42745032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42745032 is about 6537.9684918176. The cubic root of 42745032 is about 349.6459876282.

Adding to 42745032 its reverse (23054724), we get a palindrome (65799756).

The spelling of 42745032 in words is "forty-two million, seven hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 1741 2046 2232 2728 3069 3482 4092 5223 6138 6964 8184 10446 12276 13928 15669 19151 20892 24552 31338 38302 41784 53971 57453 62676 76604 107942 114906 125352 153208 161913 172359 215884 229812 323826 344718 431768 459624 485739 593681 647652 689436 971478 1187362 1295304 1378872 1781043 1942956 2374724 3562086 3885912 4749448 5343129 7124172 10686258 14248344 21372516 42745032