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41288704 = 21061661
BaseRepresentation
bin1001110110000…
…0010000000000
32212200200110021
42131200100000
541032214304
64032543224
71010643142
oct235402000
985620407
1041288704
11213408a6
12119b1b14
1387282b2
1456aac92
153958a54
hex2760400

41288704 has 44 divisors (see below), whose sum is σ = 84017068. Its totient is φ = 20275200.

The previous prime is 41288641. The next prime is 41288713. The reversal of 41288704 is 40788214.

It can be written as a sum of positive squares in 2 ways, for example, as 14745600 + 26543104 = 3840^2 + 5152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41288704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62134 + ... + 62794.

Almost surely, 241288704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42008534).

41288704 is an abundant number, since it is smaller than the sum of its proper divisors (42728364).

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

41288704 is an equidigital number, since it uses as much as digits as its factorization.

41288704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 41288704 is about 6425.6286851949. The cubic root of 41288704 is about 345.6291927786.

The spelling of 41288704 in words is "forty-one million, two hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 661 976 1024 1322 1952 2644 3904 5288 7808 10576 15616 21152 31232 40321 42304 62464 80642 84608 161284 169216 322568 338432 645136 676864 1290272 2580544 5161088 10322176 20644352 41288704