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41385616 = 2417712143
BaseRepresentation
bin1001110111011…
…1111010010000
32212212121101121
42131313322100
541043314431
64035012024
71011525526
oct235677220
985777347
1041385616
11213a7698
1211a3a014
13876043c
1456d4316
153977611
hex2777e90

41385616 has 40 divisors (see below), whose sum is σ = 86137344. Its totient is φ = 19192320.

The previous prime is 41385611. The next prime is 41385653. The reversal of 41385616 is 61658314.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (41385611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18241 + ... + 20383.

Almost surely, 241385616 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 41385616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43068672).

41385616 is an abundant number, since it is smaller than the sum of its proper divisors (44751728).

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

41385616 is a wasteful number, since it uses less digits than its factorization.

41385616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2233 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 41385616 is about 6433.1653173224. The cubic root of 41385616 is about 345.8993994007.

The spelling of 41385616 in words is "forty-one million, three hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2143 2414 4286 4828 8572 9656 17144 19312 34288 36431 72862 145724 152153 291448 304306 582896 608612 1217224 2434448 2586601 5173202 10346404 20692808 41385616