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41828948 = 22721012113
BaseRepresentation
bin1001111110010…
…0001001010100
32220201010112022
42133210021110
541202011243
64052312312
71015353200
oct237441124
986633468
1041828948
112167a787
1212012698
138887175
1457abb00
153a13b68
hex27e4254

41828948 has 36 divisors (see below), whose sum is σ = 86035572. Its totient is φ = 17740800.

The previous prime is 41828923. The next prime is 41828957. The reversal of 41828948 is 84982814.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17405584 + 24423364 = 4172^2 + 4942^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41828899 and 41828908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18740 + ... + 20852.

It is an arithmetic number, because the mean of its divisors is an integer number (2389877).

Almost surely, 241828948 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 41828948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43017786).

41828948 is an abundant number, since it is smaller than the sum of its proper divisors (44206624).

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

41828948 is a wasteful number, since it uses less digits than its factorization.

41828948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2223 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 41828948 is about 6467.5302859747. The cubic root of 41828948 is about 347.1301324901.

The spelling of 41828948 in words is "forty-one million, eight hundred twenty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2113 2828 4226 4949 8452 9898 14791 19796 29582 59164 103537 207074 213413 414148 426826 853652 1493891 2987782 5975564 10457237 20914474 41828948