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313425252 = 223273153757
BaseRepresentation
bin10010101011100…
…111110101100100
3210211202122121200
4102223213311210
51120214102002
651033442500
710524033150
oct2253476544
9724678550
10313425252
11150a14038
1288b70430
134cc1b73a
142d8aa060
151c7b1b1c
hex12ae7d64

313425252 has 144 divisors (see below), whose sum is σ = 953551872. Its totient is φ = 84913920.

The previous prime is 313425251. The next prime is 313425257. The reversal of 313425252 is 252524313.

It is a happy number.

313425252 is a `hidden beast` number, since 3 + 134 + 2 + 525 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (313425251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413658 + ... + 414414.

It is an arithmetic number, because the mean of its divisors is an integer number (6621888).

Almost surely, 2313425252 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 313425252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476775936).

313425252 is an abundant number, since it is smaller than the sum of its proper divisors (640126620).

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

313425252 is a wasteful number, since it uses less digits than its factorization.

313425252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 313425252 is about 17703.8202656941. The cubic root of 313425252 is about 679.2734829992.

Adding to 313425252 its reverse (252524313), we get a palindrome (565949565).

The spelling of 313425252 in words is "three hundred thirteen million, four hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 53 62 63 84 93 106 124 126 159 186 212 217 252 279 318 371 372 434 477 558 636 651 742 757 868 954 1113 1116 1302 1484 1514 1643 1908 1953 2226 2271 2604 3028 3286 3339 3906 4452 4542 4929 5299 6572 6678 6813 7812 9084 9858 10598 11501 13356 13626 14787 15897 19716 21196 23002 23467 27252 29574 31794 34503 40121 46004 46934 47691 59148 63588 69006 70401 80242 93868 95382 103509 120363 138012 140802 160484 164269 190764 207018 211203 240726 280847 281604 328538 361089 414036 422406 481452 492807 561694 657076 722178 842541 844812 985614 1123388 1243751 1444356 1478421 1685082 1971228 2487502 2527623 2956842 3370164 3731253 4975004 5055246 5913684 7462506 8706257 10110492 11193759 14925012 17412514 22387518 26118771 34825028 44775036 52237542 78356313 104475084 156712626 313425252