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41136984 = 233573023
BaseRepresentation
bin1001110011101…
…1001101011000
32212101222100000
42130323031120
541012340414
64025413000
71006441620
oct234731530
985358300
1041136984
1121247909
121193a160
1386a4215
14566b880
153928b09
hex273b358

41136984 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 11749536.

The previous prime is 41136967. The next prime is 41137043. The reversal of 41136984 is 48963114.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12097 + ... + 15119.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 241136984 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 41136984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

41136984 is an abundant number, since it is smaller than the sum of its proper divisors (90951336).

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

41136984 is a wasteful number, since it uses less digits than its factorization.

41136984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3035 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 41136984 is about 6413.8119710512. The cubic root of 41136984 is about 345.2053220156.

The spelling of 41136984 in words is "forty-one million, one hundred thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3023 3402 4536 6046 6804 9069 12092 13608 18138 21161 24184 27207 36276 42322 54414 63483 72552 81621 84644 108828 126966 163242 169288 190449 217656 244863 253932 326484 380898 489726 507864 571347 652968 734589 761796 979452 1142694 1469178 1523592 1714041 1958904 2285388 2938356 3428082 4570776 5142123 5876712 6856164 10284246 13712328 20568492 41136984