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41122004 = 22711197027
BaseRepresentation
bin1001110011011…
…1100011010100
32212101012210012
42130313203110
541011401004
64025215352
71006350140
oct234674324
985335705
1041122004
1121237630
1211931558
13869a461
145666220
15392446e
hex27378d4

41122004 has 48 divisors (see below), whose sum is σ = 94456320. Its totient is φ = 15176160.

The previous prime is 41121989. The next prime is 41122013. The reversal of 41122004 is 40022114.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 41122004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2339 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (1967840).

Almost surely, 241122004 is an apocalyptic number.

41122004 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 41122004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47228160).

41122004 is an abundant number, since it is smaller than the sum of its proper divisors (53334316).

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

41122004 is a wasteful number, since it uses less digits than its factorization.

41122004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 41122004 is about 6412.6440724556. The cubic root of 41122004 is about 345.1634148472.

Adding to 41122004 its reverse (40022114), we get a palindrome (81144118).

It can be divided in two parts, 4112 and 2004, that added together give a palindrome (6116).

The spelling of 41122004 in words is "forty-one million, one hundred twenty-two thousand, four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 7027 14054 28108 49189 77297 98378 133513 154594 196756 267026 309188 534052 541079 934591 1082158 1468643 1869182 2164316 2937286 3738364 5874572 10280501 20561002 41122004