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428246528 = 291077817
BaseRepresentation
bin11001100001101…
…000011000000000
31002211211011210112
4121201220120000
51334112342103
6110254450452
713420015103
oct3141503000
91084734715
10428246528
111aa808a56
12bb503a28
136a951418
1440c3873a
15278e2cd8
hex19868600

428246528 has 40 divisors (see below), whose sum is σ = 863763912. Its totient is φ = 212094976.

The previous prime is 428246527. The next prime is 428246531. The reversal of 428246528 is 825642824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428246527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50876 + ... + 58692.

Almost surely, 2428246528 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 428246528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431881956).

428246528 is an abundant number, since it is smaller than the sum of its proper divisors (435517384).

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

428246528 is an equidigital number, since it uses as much as digits as its factorization.

428246528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942 (or 7926 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The square root of 428246528 is about 20694.1181981741. The cubic root of 428246528 is about 753.7568701102.

It can be divided in two parts, 428 and 246528, that multiplied together give a square (105513984 = 102722).

The spelling of 428246528 in words is "four hundred twenty-eight million, two hundred forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1712 3424 6848 7817 13696 15634 27392 31268 54784 62536 125072 250144 500288 836419 1000576 1672838 2001152 3345676 4002304 6691352 13382704 26765408 53530816 107061632 214123264 428246528