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628100244 = 22345379463
BaseRepresentation
bin100101011100000…
…000110010010100
31121202212210120000
4211130000302110
52241243201434
6142154211300
721364523022
oct4534006224
91552783500
10628100244
112a2601012
12156423b30
13a0186c65
145d5bd712
153a21db99
hex25700c94

628100244 has 120 divisors (see below), whose sum is σ = 1697794560. Its totient is φ = 202378176.

The previous prime is 628100243. The next prime is 628100257. The reversal of 628100244 is 442001826.

628100244 is a `hidden beast` number, since 628 + 10 + 0 + 24 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628100243) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1356357 + ... + 1356819.

It is an arithmetic number, because the mean of its divisors is an integer number (14148288).

Almost surely, 2628100244 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 628100244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848897280).

628100244 is an abundant number, since it is smaller than the sum of its proper divisors (1069694316).

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

628100244 is a wasteful number, since it uses less digits than its factorization.

628100244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 628100244 is about 25061.9281780154. The cubic root of 628100244 is about 856.3993336500.

The spelling of 628100244 in words is "six hundred twenty-eight million, one hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 79 81 106 108 158 159 162 212 237 316 318 324 463 474 477 636 711 926 948 954 1389 1422 1431 1852 1908 2133 2778 2844 2862 4167 4187 4266 4293 5556 5724 6399 8334 8374 8532 8586 12501 12561 12798 16668 16748 17172 24539 25002 25122 25596 36577 37503 37683 49078 50004 50244 73154 73617 75006 75366 98156 109731 113049 146308 147234 150012 150732 219462 220851 226098 294468 329193 339147 438924 441702 452196 658386 662553 678294 883404 987579 1316772 1325106 1356588 1938581 1975158 1987659 2650212 2962737 3877162 3950316 3975318 5815743 5925474 7754324 7950636 11631486 11850948 17447229 23262972 34894458 52341687 69788916 104683374 157025061 209366748 314050122 628100244