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41492640 = 2535753233
BaseRepresentation
bin1001111001001…
…0000010100000
32220002001012110
42132102002200
541110231030
64041155320
71012452540
oct236220240
986061173
1041492640
1121470042
1211a8bb40
13879a077
145721320
1539991b0
hex27920a0

41492640 has 192 divisors, whose sum is σ = 152845056. Its totient is φ = 9265152.

The previous prime is 41492629. The next prime is 41492657. The reversal of 41492640 is 4629414.

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 = 41492598 and 41492607.

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, 177964 + ... + 178196.

It is an arithmetic number, because the mean of its divisors is an integer number (796068).

Almost surely, 241492640 is an apocalyptic number.

41492640 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 41492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76422528).

41492640 is an abundant number, since it is smaller than the sum of its proper divisors (111352416).

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

41492640 is a wasteful number, since it uses less digits than its factorization.

41492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 41492640 is about 6441.4780912458. The cubic root of 41492640 is about 346.1973102498.

The spelling of 41492640 in words is "forty-one million, four hundred ninety-two thousand, six hundred forty".