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41828136 = 2337307811
BaseRepresentation
bin1001111110001…
…1111100101000
32220201002102020
42133203330220
541202000021
64052304440
71015350630
oct237437450
986632366
1041828136
112167a109
1212012120
13888699c
1457ab6c0
153a137c6
hex27e3f28

41828136 has 64 divisors (see below), whose sum is σ = 120046080. Its totient is φ = 11897280.

The previous prime is 41828117. The next prime is 41828141. The reversal of 41828136 is 63182814.

It is a super-2 number, since 2×418281362 = 3499185922468992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41828097 and 41828106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51171 + ... + 51981.

It is an arithmetic number, because the mean of its divisors is an integer number (1875720).

Almost surely, 241828136 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 41828136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023040).

41828136 is an abundant number, since it is smaller than the sum of its proper divisors (78217944).

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

41828136 is a wasteful number, since it uses less digits than its factorization.

41828136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 41828136 is about 6467.4675105485. The cubic root of 41828136 is about 347.1278862667.

The spelling of 41828136 in words is "forty-one million, eight hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 614 811 921 1228 1622 1842 2149 2433 2456 3244 3684 4298 4866 5677 6447 6488 7368 8596 9732 11354 12894 17031 17192 19464 22708 25788 34062 45416 51576 68124 136248 248977 497954 746931 995908 1493862 1742839 1991816 2987724 3485678 5228517 5975448 6971356 10457034 13942712 20914068 41828136