Search a number
-
+
41818840 = 2357233641
BaseRepresentation
bin1001111110000…
…1101011011000
32220200121122221
42133201223120
541201200330
64052153424
71015311550
oct237415330
986617587
1041818840
1121673128
1212008874
13888269b
1457a8160
153a10b7a
hex27e1ad8

41818840 has 64 divisors (see below), whose sum is σ = 108164160. Its totient is φ = 14254080.

The previous prime is 41818837. The next prime is 41818849. The reversal of 41818840 is 4881814.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41818796 and 41818805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41818849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64920 + ... + 65560.

It is an arithmetic number, because the mean of its divisors is an integer number (1690065).

Almost surely, 241818840 is an apocalyptic number.

41818840 is a gapful number since it is divisible by the number (40) 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 41818840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54082080).

41818840 is an abundant number, since it is smaller than the sum of its proper divisors (66345320).

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

41818840 is a wasteful number, since it uses less digits than its factorization.

41818840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 41818840 is about 6466.7487967293. The cubic root of 41818840 is about 347.1021688093.

The spelling of 41818840 in words is "forty-one million, eight hundred eighteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 641 932 1165 1282 1631 1864 2330 2564 3205 3262 4487 4660 5128 6410 6524 8155 8974 9320 12820 13048 16310 17948 22435 25640 32620 35896 44870 65240 89740 149353 179480 298706 597412 746765 1045471 1194824 1493530 2090942 2987060 4181884 5227355 5974120 8363768 10454710 20909420 41818840