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41809920 = 211351361
BaseRepresentation
bin1001111101111…
…1100000000000
32220200011102120
42133133200000
541200404140
64052044240
71015243545
oct237374000
986604376
1041809920
1121667459
1212003680
13887b5c9
1457a4bcc
153a0d1d0
hex27df800

41809920 has 96 divisors (see below), whose sum is σ = 133857360. Its totient is φ = 11141120.

The previous prime is 41809913. The next prime is 41809927. The reversal of 41809920 is 2990814.

It is an interprime number because it is at equal distance from previous prime (41809913) and next prime (41809927).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41809927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30040 + ... + 31400.

Almost surely, 241809920 is an apocalyptic number.

41809920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66928680).

41809920 is an abundant number, since it is smaller than the sum of its proper divisors (92047440).

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

41809920 is a wasteful number, since it uses less digits than its factorization.

41809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 41809920 is about 6466.0590779856. The cubic root of 41809920 is about 347.0774879756.

The spelling of 41809920 in words is "forty-one million, eight hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1361 1536 1920 2048 2560 2722 3072 3840 4083 5120 5444 6144 6805 7680 8166 10240 10888 13610 15360 16332 20415 21776 27220 30720 32664 40830 43552 54440 65328 81660 87104 108880 130656 163320 174208 217760 261312 326640 348416 435520 522624 653280 696832 871040 1045248 1306560 1393664 1742080 2090496 2613120 2787328 3484160 4180992 5226240 6968320 8361984 10452480 13936640 20904960 41809920