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412941816 = 23327323727
BaseRepresentation
bin11000100111001…
…111110111111000
31001210000121200100
4120213033313320
51321203114231
6104550435400
713142643000
oct3047176770
91053017610
10412941816
111a2105331
12b6362b60
1367723191
143cbb3000
15263bd1e6
hex189cfdf8

412941816 has 192 divisors, whose sum is σ = 1362816000. Its totient is φ = 112698432.

The previous prime is 412941803. The next prime is 412941821. The reversal of 412941816 is 618149214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

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, 567645 + ... + 568371.

It is an arithmetic number, because the mean of its divisors is an integer number (7098000).

Almost surely, 2412941816 is an apocalyptic number.

412941816 is a gapful number since it is divisible by the number (46) 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 412941816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681408000).

412941816 is an abundant number, since it is smaller than the sum of its proper divisors (949874184).

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

412941816 is a wasteful number, since it uses less digits than its factorization.

412941816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 762 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 412941816 is about 20320.9698587444. The cubic root of 412941816 is about 744.6684505827.

The spelling of 412941816 in words is "four hundred twelve million, nine hundred forty-one thousand, eight hundred sixteen".