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41246820 = 223752341
BaseRepresentation
bin1001110101011…
…0000001100100
32212121120000000
42131112001210
541024344240
64032021300
71010410056
oct235260144
985546000
1041246820
112131238a
1211991830
138712204
1456998d6
15394b430
hex2756064

41246820 has 192 divisors, whose sum is σ = 138862080. Its totient is φ = 10264320.

The previous prime is 41246819. The next prime is 41246831. The reversal of 41246820 is 2864214.

It is a super-2 number, since 2×412468202 = 3402600320224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006000 + ... + 1006040.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 241246820 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 41246820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

41246820 is an abundant number, since it is smaller than the sum of its proper divisors (97615260).

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

41246820 is a wasteful number, since it uses less digits than its factorization.

41246820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41246820 is about 6422.3687218969. The cubic root of 41246820 is about 345.5122824256.

The spelling of 41246820 in words is "forty-one million, two hundred forty-six thousand, eight hundred twenty".