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41369328 = 243272111341
BaseRepresentation
bin1001110111001…
…1111011110000
32212211210001100
42131303323300
541042304303
64034404400
71011430200
oct235637360
985753040
1041369328
1121396430
1211a30700
138755bc0
1456cc400
1539728a3
hex2773ef0

41369328 has 360 divisors, whose sum is σ = 162083376. Its totient is φ = 9676800.

The previous prime is 41369323. The next prime is 41369329. The reversal of 41369328 is 82396314.

It is a super-2 number, since 2×413693282 = 3422842598343168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41369292 and 41369301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41369323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1008988 + ... + 1009028.

Almost surely, 241369328 is an apocalyptic number.

41369328 is a gapful number since it is divisible by the number (48) 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 41369328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81041688).

41369328 is an abundant number, since it is smaller than the sum of its proper divisors (120714048).

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

41369328 is a wasteful number, since it uses less digits than its factorization.

41369328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 41369328 is about 6431.8992529423. The cubic root of 41369328 is about 345.8540152854.

The spelling of 41369328 in words is "forty-one million, three hundred sixty-nine thousand, three hundred twenty-eight".