Search a number
-
+
41009976 = 233479041
BaseRepresentation
bin1001110001110…
…0001100111000
32212011112010000
42130130030320
540444304401
64022553000
71005402420
oct234341470
985145100
1041009976
1121170447
1211898760
13865b477
145637480
153901186
hex271c338

41009976 has 80 divisors (see below), whose sum is σ = 131289840. Its totient is φ = 11715840.

The previous prime is 41009959. The next prime is 41009977. The reversal of 41009976 is 67990014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41009976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41009977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16 + ... + 9056.

It is an arithmetic number, because the mean of its divisors is an integer number (1641123).

Almost surely, 241009976 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 41009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65644920).

41009976 is an abundant number, since it is smaller than the sum of its proper divisors (90279864).

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

41009976 is a wasteful number, since it uses less digits than its factorization.

41009976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 41009976 is about 6403.9031847772. The cubic root of 41009976 is about 344.8496887745.

The spelling of 41009976 in words is "forty-one million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 9041 18082 27123 36164 54246 63287 72328 81369 108492 126574 162738 189861 216984 244107 253148 325476 379722 488214 506296 569583 650952 732321 759444 976428 1139166 1464642 1518888 1708749 1952856 2278332 2929284 3417498 4556664 5126247 5858568 6834996 10252494 13669992 20504988 41009976