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626368428 = 223272838783
BaseRepresentation
bin100101010101011…
…001111110101100
31121122121210221200
4211111121332230
52240322242203
6142053125500
721344021010
oct4525317654
91548553850
10626368428
112a1628964
12155929890
139c9cb90a
145d28c540
1539eca9a3
hex25559fac

626368428 has 72 divisors (see below), whose sum is σ = 1816109568. Its totient is φ = 178309728.

The previous prime is 626368411. The next prime is 626368433. The reversal of 626368428 is 824863626.

626368428 is a `hidden beast` number, since 6 + 2 + 636 + 8 + 4 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66925 + ... + 75707.

It is an arithmetic number, because the mean of its divisors is an integer number (25223744).

Almost surely, 2626368428 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 626368428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908054784).

626368428 is an abundant number, since it is smaller than the sum of its proper divisors (1189741140).

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

626368428 is a wasteful number, since it uses less digits than its factorization.

626368428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9078 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 626368428 is about 25027.3535956161. The cubic root of 626368428 is about 855.6115128733.

It can be divided in two parts, 6263 and 68428, that added together give a triangular number (74691 = T386).

The spelling of 626368428 in words is "six hundred twenty-six million, three hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 566 849 1132 1698 1981 2547 3396 3962 5094 5943 7924 8783 10188 11886 17566 17829 23772 26349 35132 35658 52698 61481 71316 79047 105396 122962 158094 184443 245924 316188 368886 553329 737772 1106658 2213316 2485589 4971178 7456767 9942356 14913534 17399123 22370301 29827068 34798246 44740602 52197369 69596492 89481204 104394738 156592107 208789476 313184214 626368428