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412534540 = 225112118887
BaseRepresentation
bin11000100101101…
…100011100001100
31001202020221000001
4120211230130030
51321102101130
6104534014044
713136325415
oct3045543414
91052227001
10412534540
111a1957340
12b61a7324
136760c9a2
143cb0880c
152633c6ca
hex1896c70c

412534540 has 48 divisors (see below), whose sum is σ = 949665024. Its totient is φ = 149284800.

The previous prime is 412534531. The next prime is 412534543. The reversal of 412534540 is 45435214.

It is a junction number, because it is equal to n+sod(n) for n = 412534499 and 412534508.

It is not an unprimeable number, because it can be changed into a prime (412534543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41977 + ... + 50863.

It is an arithmetic number, because the mean of its divisors is an integer number (19784688).

Almost surely, 2412534540 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 412534540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474832512).

412534540 is an abundant number, since it is smaller than the sum of its proper divisors (537130484).

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

412534540 is a wasteful number, since it uses less digits than its factorization.

412534540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 412534540 is about 20310.9463098104. The cubic root of 412534540 is about 744.4235530056.

Adding to 412534540 its reverse (45435214), we get a palindrome (457969754).

The spelling of 412534540 in words is "four hundred twelve million, five hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 8887 9284 11605 17774 23210 35548 44435 46420 88870 97757 177740 195514 391028 488785 977570 1875157 1955140 3750314 7500628 9375785 18751570 20626727 37503140 41253454 82506908 103133635 206267270 412534540