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41050080 = 2532529983
BaseRepresentation
bin1001110010010…
…1111111100000
32212020120010100
42130211333200
541002100310
64023502400
71005630351
oct234457740
985216110
1041050080
1121198595
12118b7a00
1386737b6
145647d28
15390cec0
hex2725fe0

41050080 has 144 divisors (see below), whose sum is σ = 145061280. Its totient is φ = 10558464.

The previous prime is 41050073. The next prime is 41050081. The reversal of 41050080 is 8005014.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41050081) 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, 41269 + ... + 42251.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 241050080 is an apocalyptic number.

41050080 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 41050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72530640).

41050080 is an abundant number, since it is smaller than the sum of its proper divisors (104011200).

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

41050080 is a wasteful number, since it uses less digits than its factorization.

41050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 41050080 is about 6407.0336349983. The cubic root of 41050080 is about 344.9620626211.

Adding to 41050080 its reverse (8005014), we get a palindrome (49055094).

The spelling of 41050080 in words is "forty-one million, fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 983 1044 1160 1305 1392 1440 1740 1966 2088 2320 2610 2784 2949 3480 3932 4176 4640 4915 5220 5898 6960 7864 8352 8847 9830 10440 11796 13920 14745 15728 17694 19660 20880 23592 28507 29490 31456 35388 39320 41760 44235 47184 57014 58980 70776 78640 85521 88470 94368 114028 117960 141552 142535 157280 171042 176940 228056 235920 256563 283104 285070 342084 353880 427605 456112 471840 513126 570140 684168 707760 855210 912224 1026252 1140280 1282815 1368336 1415520 1710420 2052504 2280560 2565630 2736672 3420840 4105008 4561120 5131260 6841680 8210016 10262520 13683360 20525040 41050080