Search a number
-
+
41420544 = 283114903
BaseRepresentation
bin1001111000000…
…0011100000000
32212221101022020
42132000130000
541100424134
64035441440
71012032414
oct236003400
985841266
1041420544
1121420960
1211a56280
1387732c9
145702d44
153982b49
hex2780700

41420544 has 72 divisors (see below), whose sum is σ = 120285312. Its totient is φ = 12549120.

The previous prime is 41420527. The next prime is 41420549. The reversal of 41420544 is 44502414.

It is a happy number.

It is a super-2 number, since 2×414205442 = 3431322930511872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41420549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5997 + ... + 10899.

Almost surely, 241420544 is an apocalyptic number.

41420544 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 41420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60142656).

41420544 is an abundant number, since it is smaller than the sum of its proper divisors (78864768).

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

41420544 is a wasteful number, since it uses less digits than its factorization.

41420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 41420544 is about 6435.8794270869. The cubic root of 41420544 is about 345.9966810022.

Adding to 41420544 its reverse (44502414), we get a palindrome (85922958).

The spelling of 41420544 in words is "forty-one million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 4903 8448 9806 14709 19612 29418 39224 53933 58836 78448 107866 117672 156896 161799 215732 235344 313792 323598 431464 470688 627584 647196 862928 941376 1255168 1294392 1725856 1882752 2588784 3451712 3765504 5177568 6903424 10355136 13806848 20710272 41420544