Search a number
-
+
41054400 = 2632522851
BaseRepresentation
bin1001110010011…
…1000011000000
32212020210001100
42130213003000
541002220100
64023534400
71005646062
oct234470300
985223040
1041054400
11211a0862
12118ba400
13867575a
145649732
15390e400
hex27270c0

41054400 has 126 divisors (see below), whose sum is σ = 145968212. Its totient is φ = 10944000.

The previous prime is 41054399. The next prime is 41054411. The reversal of 41054400 is 445014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12975 + ... + 15825.

Almost surely, 241054400 is an apocalyptic number.

41054400 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 41054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72984106).

41054400 is an abundant number, since it is smaller than the sum of its proper divisors (104913812).

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

41054400 is a wasteful number, since it uses less digits than its factorization.

41054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41054400 is about 6407.3707556220. The cubic root of 41054400 is about 344.9741631565.

Adding to 41054400 its reverse (445014), we get a palindrome (41499414).

The spelling of 41054400 in words is "forty-one million, fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2851 2880 3600 4800 5702 7200 8553 11404 14255 14400 17106 22808 25659 28510 34212 42765 45616 51318 57020 68424 71275 85530 91232 102636 114040 128295 136848 142550 171060 182464 205272 213825 228080 256590 273696 285100 342120 410544 427650 456160 513180 547392 570200 641475 684240 821088 855300 912320 1026360 1140400 1282950 1368480 1642176 1710600 2052720 2280800 2565900 2736960 3421200 4105440 4561600 5131800 6842400 8210880 10263600 13684800 20527200 41054400