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41780368 = 247477937
BaseRepresentation
bin1001111101100…
…0010010010000
32220121122220001
42133120102100
541143432433
64051255344
71015061440
oct237302220
986548801
1041780368
1121647233
1211baa554
13886b016
145798120
153a0457d
hex27d8490

41780368 has 40 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 17522688.

The previous prime is 41780327. The next prime is 41780413. The reversal of 41780368 is 86308714.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 1296 + ... + 9232.

Almost surely, 241780368 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 41780368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

41780368 is an abundant number, since it is smaller than the sum of its proper divisors (52713584).

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

41780368 is a wasteful number, since it uses less digits than its factorization.

41780368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 41780368 is about 6463.7735108836. The cubic root of 41780368 is about 346.9956951742.

The spelling of 41780368 in words is "forty-one million, seven hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 7937 15874 31748 55559 63496 111118 126992 222236 373039 444472 746078 888944 1492156 2611273 2984312 5222546 5968624 10445092 20890184 41780368