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41415480 = 23325293967
BaseRepresentation
bin1001110111111…
…1001100111000
32212221010100200
42131333030320
541100243410
64035402200
71012011561
oct235771470
985833320
1041415480
1121418077
1211a53360
138770c02
145701168
1539813c0
hex277f338

41415480 has 96 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 10660608.

The previous prime is 41415461. The next prime is 41415487. The reversal of 41415480 is 8451414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41415487) 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, 8457 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 241415480 is an apocalyptic number.

41415480 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 41415480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

41415480 is an abundant number, since it is smaller than the sum of its proper divisors (97861320).

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

41415480 is a wasteful number, since it uses less digits than its factorization.

41415480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 41415480 is about 6435.4859956339. The cubic root of 41415480 is about 345.9825801202.

Adding to 41415480 its reverse (8451414), we get a palindrome (49866894).

The spelling of 41415480 in words is "forty-one million, four hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 3967 5220 7934 10440 11901 15868 19835 23802 31736 35703 39670 47604 59505 71406 79340 95208 115043 119010 142812 158680 178515 230086 238020 285624 345129 357030 460172 476040 575215 690258 714060 920344 1035387 1150430 1380516 1428120 1725645 2070774 2300860 2761032 3451290 4141548 4601720 5176935 6902580 8283096 10353870 13805160 20707740 41415480