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41987940 = 22352959409
BaseRepresentation
bin1010000000101…
…0111101100100
32221000012121220
42200022331210
541222103230
64055540340
71016614551
oct240127544
987005556
1041987940
1121779185
121208a6b0
138911647
14580da28
153a45d10
hex280af64

41987940 has 96 divisors (see below), whose sum is σ = 123984000. Its totient is φ = 10601472.

The previous prime is 41987917. The next prime is 41987951. The reversal of 41987940 is 4978914.

It is a junction number, because it is equal to n+sod(n) for n = 41987892 and 41987901.

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 31 ways as a sum of consecutive naturals, for example, 102456 + ... + 102864.

It is an arithmetic number, because the mean of its divisors is an integer number (1291500).

Almost surely, 241987940 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 41987940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992000).

41987940 is an abundant number, since it is smaller than the sum of its proper divisors (81996060).

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

41987940 is a wasteful number, since it uses less digits than its factorization.

41987940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 41987940 is about 6479.8101824050. The cubic root of 41987940 is about 347.5693907629.

The spelling of 41987940 in words is "forty-one million, nine hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 59 60 87 116 118 145 174 177 236 290 295 348 354 409 435 580 590 708 818 870 885 1180 1227 1636 1711 1740 1770 2045 2454 3422 3540 4090 4908 5133 6135 6844 8180 8555 10266 11861 12270 17110 20532 23722 24131 24540 25665 34220 35583 47444 48262 51330 59305 71166 72393 96524 102660 118610 120655 142332 144786 177915 237220 241310 289572 355830 361965 482620 699799 711660 723930 1399598 1447860 2099397 2799196 3498995 4198794 6997990 8397588 10496985 13995980 20993970 41987940