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41196816 = 2433472029
BaseRepresentation
bin1001110100100…
…1110100010000
32212112000102000
42131021310100
541021244231
64030554000
71010111223
oct235116420
985460360
1041196816
1121288861
1211968900
1386c551b
1456855ba
15393b6e6
hex2749d10

41196816 has 80 divisors (see below), whose sum is σ = 120825600. Its totient is φ = 13433472.

The previous prime is 41196811. The next prime is 41196817. The reversal of 41196816 is 61869114.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (41196811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19290 + ... + 21318.

It is an arithmetic number, because the mean of its divisors is an integer number (1510320).

Almost surely, 241196816 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 41196816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60412800).

41196816 is an abundant number, since it is smaller than the sum of its proper divisors (79628784).

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

41196816 is a wasteful number, since it uses less digits than its factorization.

41196816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2081 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 41196816 is about 6418.4745851331. The cubic root of 41196816 is about 345.3726031115.

The spelling of 41196816 in words is "forty-one million, one hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2029 2256 2538 3384 4058 5076 6087 6768 8116 10152 12174 16232 18261 20304 24348 32464 36522 48696 54783 73044 95363 97392 109566 146088 190726 219132 286089 292176 381452 438264 572178 762904 858267 876528 1144356 1525808 1716534 2288712 2574801 3433068 4577424 5149602 6866136 10299204 13732272 20598408 41196816