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41001480 = 23325138761
BaseRepresentation
bin1001110001101…
…0001000001000
32212011002110100
42130122020020
540444021410
64022445400
71005335562
oct234321010
985132410
1041001480
1121165023
1211893860
138657640
145634332
1538ed8c0
hex271a208

41001480 has 96 divisors (see below), whose sum is σ = 143521560. Its totient is φ = 10091520.

The previous prime is 41001469. The next prime is 41001481. The reversal of 41001480 is 8410014.

41001480 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 15539364 + 25462116 = 3942^2 + 5046^2 .

It is a super-2 number, since 2×410014802 = 3362242724380800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (41001481) 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, 300 + ... + 9060.

Almost surely, 241001480 is an apocalyptic number.

41001480 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 41001480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71760780).

41001480 is an abundant number, since it is smaller than the sum of its proper divisors (102520080).

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

41001480 is a wasteful number, since it uses less digits than its factorization.

41001480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 41001480 is about 6403.2398049737. The cubic root of 41001480 is about 344.8258730628.

Adding to 41001480 its reverse (8410014), we get a palindrome (49411494).

The spelling of 41001480 in words is "forty-one million, one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 8761 17522 26283 35044 43805 52566 70088 78849 87610 105132 113893 131415 157698 175220 210264 227786 262830 315396 341679 350440 394245 455572 525660 569465 630792 683358 788490 911144 1025037 1051320 1138930 1366716 1576980 1708395 2050074 2277860 2733432 3153960 3416790 4100148 4555720 5125185 6833580 8200296 10250370 13667160 20500740 41001480