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628326560 = 25515725013
BaseRepresentation
bin100101011100111…
…000000010100000
31121210022022000002
4211130320002200
52241322422220
6142203115132
721366454601
oct4534700240
91553268002
10628326560
112a2746054
12156512aa8
13a0235c84
145d63bda8
153a265c75
hex257380a0

628326560 has 48 divisors (see below), whose sum is σ = 1493936136. Its totient is φ = 249719808.

The previous prime is 628326547. The next prime is 628326571. The reversal of 628326560 is 65623826.

It can be written as a sum of positive squares in 4 ways, for example, as 597900304 + 30426256 = 24452^2 + 5516^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12614 + ... + 37626.

Almost surely, 2628326560 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 628326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746968068).

628326560 is an abundant number, since it is smaller than the sum of its proper divisors (865609576).

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

628326560 is a wasteful number, since it uses less digits than its factorization.

628326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25185 (or 25177 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 628326560 is about 25066.4429068027. The cubic root of 628326560 is about 856.5021800770.

The spelling of 628326560 in words is "six hundred twenty-eight million, three hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25013 25120 50026 100052 125065 200104 250130 400208 500260 800416 1000520 2001040 3927041 4002080 7854082 15708164 19635205 31416328 39270410 62832656 78540820 125665312 157081640 314163280 628326560