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41926248 = 233671379
BaseRepresentation
bin1001111111101…
…1111001101000
32220220002000000
42133323321220
541213114443
64054343000
71016236650
oct237737150
986802000
1041926248
11217368a1
121205aa60
1388bc540
1457d5360
153a328d3
hex27fbe68

41926248 has 224 divisors, whose sum is σ = 146899200. Its totient is φ = 10917504.

The previous prime is 41926201. The next prime is 41926259. The reversal of 41926248 is 84262914.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 530673 + ... + 530751.

It is an arithmetic number, because the mean of its divisors is an integer number (655800).

Almost surely, 241926248 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 41926248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73449600).

41926248 is an abundant number, since it is smaller than the sum of its proper divisors (104972952).

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

41926248 is a wasteful number, since it uses less digits than its factorization.

41926248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41926248 is about 6475.0481079294. The cubic root of 41926248 is about 347.3990818521.

It can be divided in two parts, 4192 and 6248, that added together give a triangular number (10440 = T144).

The spelling of 41926248 in words is "forty-one million, nine hundred twenty-six thousand, two hundred forty-eight".