Search a number
-
+
41460432 = 24313219269
BaseRepresentation
bin1001111000101…
…0001011010000
32220000102000120
42132022023100
541103213212
64040350240
71012256616
oct236121320
986012016
1041460432
1121448922
1211a75380
138788500
1457136b6
15398e88c
hex278a2d0

41460432 has 120 divisors (see below), whose sum is σ = 122536800. Its totient is φ = 12040704.

The previous prime is 41460427. The next prime is 41460437. The reversal of 41460432 is 23406414.

It is an interprime number because it is at equal distance from previous prime (41460427) and next prime (41460437).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41460437) 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, 153994 + ... + 154262.

It is an arithmetic number, because the mean of its divisors is an integer number (1021140).

Almost surely, 241460432 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 41460432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61268400).

41460432 is an abundant number, since it is smaller than the sum of its proper divisors (81076368).

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

41460432 is a wasteful number, since it uses less digits than its factorization.

41460432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 41460432 is about 6438.9775585880. The cubic root of 41460432 is about 346.1077103489.

Adding to 41460432 its reverse (23406414), we get a palindrome (64866846).

The spelling of 41460432 in words is "forty-one million, four hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 169 208 228 247 269 304 312 338 456 494 507 538 624 676 741 807 912 988 1014 1076 1352 1482 1614 1976 2028 2152 2704 2964 3211 3228 3497 3952 4056 4304 5111 5928 6422 6456 6994 8112 9633 10222 10491 11856 12844 12912 13988 15333 19266 20444 20982 25688 27976 30666 38532 40888 41964 45461 51376 55952 61332 66443 77064 81776 83928 90922 122664 132886 136383 154128 167856 181844 199329 245328 265772 272766 363688 398658 531544 545532 727376 797316 863759 1063088 1091064 1594632 1727518 2182128 2591277 3189264 3455036 5182554 6910072 10365108 13820144 20730216 41460432