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412552144 = 24297271223
BaseRepresentation
bin11000100101110…
…000101111010000
31001202021211011001
4120211300233100
51321103132034
6104534231344
713136430634
oct3045605720
91052254131
10412552144
111a1969594
12b61b5554
13676179c4
143cb10dc4
1526342a14
hex18970bd0

412552144 has 40 divisors (see below), whose sum is σ = 828696960. Its totient is φ = 198726528.

The previous prime is 412552121. The next prime is 412552157. The reversal of 412552144 is 441255214.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 336717 + ... + 337939.

It is an arithmetic number, because the mean of its divisors is an integer number (20717424).

Almost surely, 2412552144 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 412552144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

412552144 is an abundant number, since it is smaller than the sum of its proper divisors (416144816).

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

412552144 is a wasteful number, since it uses less digits than its factorization.

412552144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 412552144 is about 20311.3796675657. The cubic root of 412552144 is about 744.4341417318.

The spelling of 412552144 in words is "four hundred twelve million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 727 1223 1454 2446 2908 4892 5816 9784 11632 19568 21083 35467 42166 70934 84332 141868 168664 283736 337328 567472 889121 1778242 3556484 7112968 14225936 25784509 51569018 103138036 206276072 412552144