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41131048 = 23719293143
BaseRepresentation
bin1001110011100…
…1110000101000
32212101200012011
42130321300220
541012143143
64025325304
71006415410
oct234716050
985350164
1041131048
1121243402
1211936834
1386a15ca
145669640
153926e9d
hex2739c28

41131048 has 128 divisors (see below), whose sum is σ = 101376000. Its totient is φ = 15240960.

The previous prime is 41131043. The next prime is 41131117. The reversal of 41131048 is 84013114.

It is not an unprimeable number, because it can be changed into a prime (41131043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956515 + ... + 956557.

It is an arithmetic number, because the mean of its divisors is an integer number (792000).

Almost surely, 241131048 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 41131048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688000).

41131048 is an abundant number, since it is smaller than the sum of its proper divisors (60244952).

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

41131048 is a wasteful number, since it uses less digits than its factorization.

41131048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 41131048 is about 6413.3492030296. The cubic root of 41131048 is about 345.1887170277.

The spelling of 41131048 in words is "forty-one million, one hundred thirty-one thousand, forty-eight".

Divisors: 1 2 4 7 8 14 19 28 29 31 38 43 56 58 62 76 86 116 124 133 152 172 203 217 232 248 266 301 344 406 434 532 551 589 602 812 817 868 899 1064 1102 1178 1204 1247 1333 1624 1634 1736 1798 2204 2356 2408 2494 2666 3268 3596 3857 4123 4408 4712 4988 5332 5719 6293 6536 7192 7714 8246 8729 9331 9976 10664 11438 12586 15428 16492 17081 17458 18662 22876 23693 25172 25327 30856 32984 34162 34916 37324 38657 45752 47386 50344 50654 68324 69832 74648 77314 94772 101308 119567 136648 154628 165851 177289 189544 202616 239134 270599 309256 331702 354578 478268 541198 663404 709156 734483 956536 1082396 1326808 1418312 1468966 2164792 2937932 5141381 5875864 10282762 20565524 41131048