Search a number
-
+
41475104 = 25111729239
BaseRepresentation
bin1001111000110…
…1110000100000
32220001011010222
42132031300200
541104200404
64040542212
71012350446
oct236156040
986034128
1041475104
1121458950
1211a81968
1387920a8
145718b96
153993dbe
hex278dc20

41475104 has 96 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 17059840.

The previous prime is 41475089. The next prime is 41475127. The reversal of 41475104 is 40157414.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 173417 + ... + 173655.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 241475104 is an apocalyptic number.

41475104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41475104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

41475104 is an abundant number, since it is smaller than the sum of its proper divisors (56502496).

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

41475104 is a wasteful number, since it uses less digits than its factorization.

41475104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 41475104 is about 6440.1167691277. The cubic root of 41475104 is about 346.1485323502.

The spelling of 41475104 in words is "forty-one million, four hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 29 32 34 44 58 68 88 116 136 176 187 232 239 272 319 352 374 464 478 493 544 638 748 928 956 986 1276 1496 1912 1972 2552 2629 2992 3824 3944 4063 5104 5258 5423 5984 6931 7648 7888 8126 10208 10516 10846 13862 15776 16252 21032 21692 27724 32504 42064 43384 44693 55448 65008 76241 84128 86768 89386 110896 117827 130016 152482 173536 178772 221792 235654 304964 357544 471308 609928 715088 942616 1219856 1296097 1430176 1885232 2439712 2592194 3770464 5184388 10368776 20737552 41475104