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41421440 = 275611061
BaseRepresentation
bin1001111000000…
…0101010000000
32212221102112102
42132000222000
541100441230
64035445532
71012035134
oct236005200
985842472
1041421440
11214215a5
1211a568a8
138773838
1457033c4
153983045
hex2780a80

41421440 has 64 divisors (see below), whose sum is σ = 100741320. Its totient is φ = 16281600.

The previous prime is 41421437. The next prime is 41421451. The reversal of 41421440 is 4412414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24840256 + 16581184 = 4984^2 + 4072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38510 + ... + 39570.

Almost surely, 241421440 is an apocalyptic number.

41421440 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 41421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50370660).

41421440 is an abundant number, since it is smaller than the sum of its proper divisors (59319880).

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

41421440 is a wasteful number, since it uses less digits than its factorization.

41421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 41421440 is about 6435.9490364670. The cubic root of 41421440 is about 345.9991758253. Note that the first 3 decimals are identical.

Adding to 41421440 its reverse (4412414), we get a palindrome (45833854).

The spelling of 41421440 in words is "forty-one million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1061 1220 1952 2122 2440 3904 4244 4880 5305 7808 8488 9760 10610 16976 19520 21220 33952 39040 42440 64721 67904 84880 129442 135808 169760 258884 323605 339520 517768 647210 679040 1035536 1294420 2071072 2588840 4142144 5177680 8284288 10355360 20710720 41421440