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41260032 = 2103211237
BaseRepresentation
bin1001110101100…
…1010000000000
32212122020010100
42131121100000
541030310112
64032202400
71010463432
oct235312000
985566110
1041260032
1121321300
1211999400
138718228
1456a0652
1539502dc
hex2759400

41260032 has 198 divisors, whose sum is σ = 134491994. Its totient is φ = 12165120.

The previous prime is 41260019. The next prime is 41260033. The reversal of 41260032 is 23006214.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 1115136 = 6336^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (198).

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

It is a junction number, because it is equal to n+sod(n) for n = 41259987 and 41260014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41260033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115118 + ... + 1115154.

Almost surely, 241260032 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 41260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67245997).

41260032 is an abundant number, since it is smaller than the sum of its proper divisors (93231962).

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

41260032 is a wasteful number, since it uses less digits than its factorization.

41260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41260032 is about 6423.3972319949. The cubic root of 41260032 is about 345.5491694790.

Adding to 41260032 its reverse (23006214), we get a palindrome (64266246).

The spelling of 41260032 in words is "forty-one million, two hundred sixty thousand, thirty-two".