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41485440 = 2735173141
BaseRepresentation
bin1001111001000…
…0010010000000
32220001200022210
42132100102000
541110013230
64041102120
71012422543
oct236202200
986050283
1041485440
1121465697
1211a87940
1387969c9
14571c85a
153996eb0
hex2790480

41485440 has 256 divisors, whose sum is σ = 148055040. Its totient is φ = 9830400.

The previous prime is 41485421. The next prime is 41485453. The reversal of 41485440 is 4458414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41485398 and 41485407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011820 + ... + 1011860.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 241485440 is an apocalyptic number.

41485440 is a gapful number since it is divisible by the number (40) 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 41485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

41485440 is an abundant number, since it is smaller than the sum of its proper divisors (106569600).

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

41485440 is a wasteful number, since it uses less digits than its factorization.

41485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 41485440 is about 6440.9191890599. The cubic root of 41485440 is about 346.1772844908.

The spelling of 41485440 in words is "forty-one million, four hundred eighty-five thousand, four hundred forty".