Search a number
-
+
2313506448 = 243411214753
BaseRepresentation
bin1000100111100101…
…0100111010010000
312222020021022020000
42021321110322100
514214224201243
61021322250000
7111221323521
oct21171247220
95866238200
102313506448
11a87a06700
12546956900
132ab3c3a36
1417d386848
15d818d5d3
hex89e54e90

2313506448 has 150 divisors (see below), whose sum is σ = 7360519782. Its totient is φ = 701015040.

The previous prime is 2313506441. The next prime is 2313506479. The reversal of 2313506448 is 8446053132.

2313506448 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 5 + 0 + 644 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 346406544 = 44352^2 + 18612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2313506441) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 149440 + ... + 164192.

Almost surely, 22313506448 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 2313506448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680259891).

2313506448 is an abundant number, since it is smaller than the sum of its proper divisors (5047013334).

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

2313506448 is a wasteful number, since it uses less digits than its factorization.

2313506448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14795 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2313506448 is about 48098.9235638387. The cubic root of 2313506448 is about 1322.5849346599.

The spelling of 2313506448 in words is "two billion, three hundred thirteen million, five hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 13068 14256 14753 17424 19602 26136 29506 39204 44259 52272 59012 78408 88518 118024 132777 156816 162283 177036 236048 265554 324566 354072 398331 486849 531108 649132 708144 796662 973698 1062216 1194993 1298264 1460547 1593324 1785113 1947396 2124432 2389986 2596528 2921094 3186648 3570226 3894792 4381641 4779972 5355339 5842188 6373296 7140452 7789584 8763282 9559944 10710678 11684376 13144923 14280904 16066017 17526564 19119888 21421356 23368752 26289846 28561808 32132034 35053128 42842712 48198051 52579692 64264068 70106256 85685424 96396102 105159384 128528136 144594153 192792204 210318768 257056272 289188306 385584408 578376612 771168816 1156753224 2313506448