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41204880 = 24325151379
BaseRepresentation
bin1001110100101…
…1110010010000
32212112102110200
42131023302100
541022024010
64031055200
71010143563
oct235136220
985472420
1041204880
1121293922
1211971500
1386c90b2
1456884da
15393dcc0
hex274bc90

41204880 has 120 divisors (see below), whose sum is σ = 139663680. Its totient is φ = 10886400.

The previous prime is 41204873. The next prime is 41204887. The reversal of 41204880 is 8840214.

It is an interprime number because it is at equal distance from previous prime (41204873) and next prime (41204887).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (41204887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108531 + ... + 108909.

It is an arithmetic number, because the mean of its divisors is an integer number (1163864).

Almost surely, 241204880 is an apocalyptic number.

41204880 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 41204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69831840).

41204880 is an abundant number, since it is smaller than the sum of its proper divisors (98458800).

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

41204880 is a wasteful number, since it uses less digits than its factorization.

41204880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 41204880 is about 6419.1027410379. The cubic root of 41204880 is about 345.3951364303.

The spelling of 41204880 in words is "forty-one million, two hundred four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 240 302 360 379 453 604 720 755 758 906 1137 1208 1359 1510 1516 1812 1895 2265 2274 2416 2718 3020 3032 3411 3624 3790 4530 4548 5436 5685 6040 6064 6795 6822 7248 7580 9060 9096 10872 11370 12080 13590 13644 15160 17055 18120 18192 21744 22740 27180 27288 30320 34110 36240 45480 54360 54576 57229 68220 90960 108720 114458 136440 171687 228916 272880 286145 343374 457832 515061 572290 686748 858435 915664 1030122 1144580 1373496 1716870 2060244 2289160 2575305 2746992 3433740 4120488 4578320 5150610 6867480 8240976 10301220 13734960 20602440 41204880