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41839380 = 2232511217113
BaseRepresentation
bin1001111110011…
…0101100010100
32220201122211200
42133212230110
541202330010
64052432500
71015425462
oct237465424
986648750
1041839380
1121687600
1212018730
13888bb3b
1457b1832
153a16cc0
hex27e6b14

41839380 has 216 divisors, whose sum is σ = 149012136. Its totient is φ = 9461760.

The previous prime is 41839379. The next prime is 41839381. The reversal of 41839380 is 8393814.

It is an interprime number because it is at equal distance from previous prime (41839379) and next prime (41839381).

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 40985604 = 924^2 + 6402^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41839381) 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, 370204 + ... + 370316.

It is an arithmetic number, because the mean of its divisors is an integer number (689871).

Almost surely, 241839380 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 41839380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74506068).

41839380 is an abundant number, since it is smaller than the sum of its proper divisors (107172756).

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

41839380 is a wasteful number, since it uses less digits than its factorization.

41839380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 41839380 is about 6468.3367259289. The cubic root of 41839380 is about 347.1589877902.

The spelling of 41839380 in words is "forty-one million, eight hundred thirty-nine thousand, three hundred eighty".