Search a number
-
+
630039256 = 237211237359
BaseRepresentation
bin100101100011011…
…010001011011000
31121220112022101021
4211203122023120
52242242224011
6142303532224
721420150100
oct4543321330
91556468337
10630039256
112a3705900
12156bba074
13a06b56c2
145d966200
153a4a3471
hex258da2d8

630039256 has 144 divisors (see below), whose sum is σ = 1555621200. Its totient is φ = 238170240.

The previous prime is 630039247. The next prime is 630039269. The reversal of 630039256 is 652930036.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1754805 + ... + 1755163.

It is an arithmetic number, because the mean of its divisors is an integer number (10802925).

Almost surely, 2630039256 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 630039256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777810600).

630039256 is an abundant number, since it is smaller than the sum of its proper divisors (925581944).

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

630039256 is a wasteful number, since it uses less digits than its factorization.

630039256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 630039256 is about 25100.5827820790. The cubic root of 630039256 is about 857.2796935084.

The spelling of 630039256 in words is "six hundred thirty million, thirty-nine thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 49 56 74 77 88 98 121 148 154 196 242 259 296 308 359 392 407 484 518 539 616 718 814 847 968 1036 1078 1436 1628 1694 1813 2072 2156 2513 2849 2872 3256 3388 3626 3949 4312 4477 5026 5698 5929 6776 7252 7898 8954 10052 11396 11858 13283 14504 15796 17591 17908 19943 20104 22792 23716 26566 27643 31339 31592 35182 35816 39886 43439 47432 53132 55286 62678 70364 79772 86878 92981 106264 110572 125356 140728 146113 159544 173756 185962 193501 219373 221144 250712 292226 304073 347512 371924 387002 438746 584452 608146 650867 743848 774004 877492 1022791 1168904 1216292 1301734 1548008 1607243 1754984 2045582 2128511 2432584 2603468 3214486 4091164 4257022 5206936 6428972 7159537 8182328 8514044 11250701 12857944 14319074 17028088 22501402 28638148 45002804 57276296 78754907 90005608 157509814 315019628 630039256