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41124248 = 23114761163
BaseRepresentation
bin1001110011100…
…0000110011000
32212101022212022
42130320012120
541011433443
64025234012
71006356524
oct234700630
985338768
1041124248
1121239290
1211932908
13869b499
145666d84
153924e68
hex2738198

41124248 has 64 divisors (see below), whose sum is σ = 87851520. Its totient is φ = 17884800.

The previous prime is 41124169. The next prime is 41124263. The reversal of 41124248 is 84242114.

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

It is a congruent number.

It is an unprimeable number.

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, 252215 + ... + 252377.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 241124248 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 41124248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43925760).

41124248 is an abundant number, since it is smaller than the sum of its proper divisors (46727272).

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

41124248 is a wasteful number, since it uses less digits than its factorization.

41124248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 41124248 is about 6412.8190368979. The cubic root of 41124248 is about 345.1696931779.

The spelling of 41124248 in words is "forty-one million, one hundred twenty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 47 61 88 94 122 163 188 244 326 376 488 517 652 671 1034 1304 1342 1793 2068 2684 2867 3586 4136 5368 5734 7172 7661 9943 11468 14344 15322 19886 22936 30644 31537 39772 61288 63074 79544 84271 109373 126148 168542 218746 252296 337084 437492 467321 674168 874984 934642 1869284 3738568 5140531 10281062 20562124 41124248