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41478990 = 2357329139
BaseRepresentation
bin1001111000111…
…0101101001110
32220001100110220
42132032231032
541104311430
64041012210
71012365000
oct236165516
986040426
1041478990
1121460863
1211a84066
138793aa7
14571a370
153995110
hex278eb4e

41478990 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 9088128.

The previous prime is 41478977. The next prime is 41478991. The reversal of 41478990 is 9987414.

It is a super-2 number, since 2×414789902 = 3441013222840200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41478991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298341 + ... + 298479.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 241478990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41478990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

41478990 is an abundant number, since it is smaller than the sum of its proper divisors (79481010).

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

41478990 is a wasteful number, since it uses less digits than its factorization.

41478990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 41478990 is about 6440.4184646652. The cubic root of 41478990 is about 346.1593427807.

The spelling of 41478990 in words is "forty-one million, four hundred seventy-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 49 58 70 87 98 105 139 145 147 174 203 210 245 278 290 294 343 406 417 435 490 609 686 695 735 834 870 973 1015 1029 1218 1390 1421 1470 1715 1946 2030 2058 2085 2842 2919 3045 3430 4031 4170 4263 4865 5145 5838 6090 6811 7105 8062 8526 9730 9947 10290 12093 13622 14210 14595 19894 20155 20433 21315 24186 28217 29190 29841 34055 40310 40866 42630 47677 49735 56434 59682 60465 68110 84651 95354 99470 102165 120930 141085 143031 149205 169302 197519 204330 238385 282170 286062 298410 395038 423255 476770 592557 715155 846510 987595 1185114 1382633 1430310 1975190 2765266 2962785 4147899 5925570 6913165 8295798 13826330 20739495 41478990