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41407380 = 22325759557
BaseRepresentation
bin1001110111110…
…1001110010100
32212220201020200
42131331032110
541100014010
64035300500
71011646140
oct235751624
985821220
1041407380
1121411a83
1211a4a730
13876a311
1456dc220
15397dcc0
hex277d394

41407380 has 144 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 9287424.

The previous prime is 41407343. The next prime is 41407391. The reversal of 41407380 is 8370414.

It is a super-2 number, since 2×414073802 = 3429142236928800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74062 + ... + 74618.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 241407380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41407380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

41407380 is an abundant number, since it is smaller than the sum of its proper divisors (104833260).

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

41407380 is a wasteful number, since it uses less digits than its factorization.

41407380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 41407380 is about 6434.8566417598. The cubic root of 41407380 is about 345.9600230021.

Adding to 41407380 its reverse (8370414), we get a palindrome (49777794).

The spelling of 41407380 in words is "forty-one million, four hundred seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 354 413 420 531 557 590 630 708 826 885 1062 1114 1180 1239 1260 1652 1671 1770 2065 2124 2228 2478 2655 2785 3342 3540 3717 3899 4130 4956 5013 5310 5570 6195 6684 7434 7798 8260 8355 10026 10620 11140 11697 12390 14868 15596 16710 18585 19495 20052 23394 24780 25065 32863 33420 35091 37170 38990 46788 50130 58485 65726 70182 74340 77980 98589 100260 116970 131452 140364 164315 175455 197178 230041 233940 295767 328630 350910 394356 460082 492945 591534 657260 690123 701820 920164 985890 1150205 1183068 1380246 1478835 1971780 2070369 2300410 2760492 2957670 3450615 4140738 4600820 5915340 6901230 8281476 10351845 13802460 20703690 41407380