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41373828 = 2234277461
BaseRepresentation
bin1001110111010…
…1000010000100
32212212000020000
42131311002010
541042430303
64034441300
71011446256
oct235650204
985760200
1041373828
1121399851
1211a33230
138757c72
1456cdcd6
153973da3
hex2775084

41373828 has 60 divisors (see below), whose sum is σ = 108785292. Its totient is φ = 13711680.

The previous prime is 41373823. The next prime is 41373853. The reversal of 41373828 is 82837314.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 31337604 = 3168^2 + 5598^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41373792 and 41373801.

It is not an unprimeable number, because it can be changed into a prime (41373821) 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 19 ways as a sum of consecutive naturals, for example, 89518 + ... + 89978.

Almost surely, 241373828 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 41373828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54392646).

41373828 is an abundant number, since it is smaller than the sum of its proper divisors (67411464).

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

41373828 is a wasteful number, since it uses less digits than its factorization.

41373828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 743 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 41373828 is about 6432.2490623420. The cubic root of 41373828 is about 345.8665550640.

The spelling of 41373828 in words is "forty-one million, three hundred seventy-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 277 324 461 554 831 922 1108 1383 1662 1844 2493 2766 3324 4149 4986 5532 7479 8298 9972 12447 14958 16596 22437 24894 29916 37341 44874 49788 74682 89748 127697 149364 255394 383091 510788 766182 1149273 1532364 2298546 3447819 4597092 6895638 10343457 13791276 20686914 41373828