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628094166 = 237233717573
BaseRepresentation
bin100101011011111…
…111010011010110
31121202212111012220
4211123333103112
52241243003131
6142154123210
721364466220
oct4533772326
91552774186
10628094166
112a25a7497
12156420506
13a018426b
145d5bb410
153a21be96
hex256ff4d6

628094166 has 64 divisors (see below), whose sum is σ = 1538638848. Its totient is φ = 167004288.

The previous prime is 628094119. The next prime is 628094167. The reversal of 628094166 is 661490826.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628094167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26956 + ... + 44528.

It is an arithmetic number, because the mean of its divisors is an integer number (24041232).

Almost surely, 2628094166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628094166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769319424).

628094166 is an abundant number, since it is smaller than the sum of its proper divisors (910544682).

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

628094166 is a wasteful number, since it uses less digits than its factorization.

628094166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17645.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 628094166 is about 25061.8069180975. The cubic root of 628094166 is about 856.3965712396.

The spelling of 628094166 in words is "six hundred twenty-eight million, ninety-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 111 138 161 222 259 322 483 518 777 851 966 1554 1702 2553 5106 5957 11914 17573 17871 35146 35742 52719 105438 123011 246022 369033 404179 650201 738066 808358 1212537 1300402 1950603 2425074 2829253 3901206 4551407 5658506 8487759 9102814 13654221 14954623 16975518 27308442 29909246 44863869 89727738 104682361 209364722 314047083 628094166