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41407002 = 232713171487
BaseRepresentation
bin1001110111110…
…1001000011010
32212220200201200
42131331020122
541100011002
64035255030
71011645060
oct235751032
985820650
1041407002
112141176a
1211a4a476
13876a0b0
1456dc030
15397db1c
hex277d21a

41407002 has 96 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 10271232.

The previous prime is 41407001. The next prime is 41407013. The reversal of 41407002 is 20070414.

Added to its reverse (20070414) it gives a triangular number (61477416 = T11088).

It is a happy number.

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 (41407001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27103 + ... + 28589.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 241407002 is an apocalyptic number.

41407002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41407002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

41407002 is an abundant number, since it is smaller than the sum of its proper divisors (75585510).

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

41407002 is a wasteful number, since it uses less digits than its factorization.

41407002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 41407002 is about 6434.8272704091. The cubic root of 41407002 is about 345.9589702648.

Adding to 41407002 its reverse (20070414), we get a palindrome (61477416).

The spelling of 41407002 in words is "forty-one million, four hundred seven thousand, two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 663 714 819 1071 1326 1487 1547 1638 1989 2142 2974 3094 3978 4461 4641 8922 9282 10409 13383 13923 19331 20818 25279 26766 27846 31227 38662 50558 57993 62454 75837 93681 115986 135317 151674 173979 176953 187362 227511 270634 328627 347958 353906 405951 455022 530859 657254 811902 985881 1061718 1217853 1592577 1971762 2300389 2435706 2957643 3185154 4600778 5915286 6901167 13802334 20703501 41407002