Search a number
-
+
1133263248 = 2431317472273
BaseRepresentation
bin100001110001100…
…0011100110010000
32220222102201220220
41003203003212100
54310103410443
6304241433040
740040402325
oct10343034620
92828381826
101133263248
115317744a7
1227763b780
13150a29090
14aa71ab4c
1569756a83
hex438c3990

1133263248 has 160 divisors (see below), whose sum is σ = 3410781696. Its totient is φ = 321060864.

The previous prime is 1133263207. The next prime is 1133263267. The reversal of 1133263248 is 8423623311.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497440 + ... + 499712.

Almost surely, 21133263248 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 1133263248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705390848).

1133263248 is an abundant number, since it is smaller than the sum of its proper divisors (2277518448).

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

1133263248 is a wasteful number, since it uses less digits than its factorization.

1133263248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2355 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 1133263248 is about 33663.9755228048. The cubic root of 1133263248 is about 1042.5821094802.

Adding to 1133263248 its reverse (8423623311), we get a palindrome (9556886559).

The spelling of 1133263248 in words is "one billion, one hundred thirty-three million, two hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 47 48 51 52 68 78 94 102 104 136 141 156 188 204 208 221 272 282 312 376 408 442 564 611 624 663 752 799 816 884 1128 1222 1326 1598 1768 1833 2256 2273 2397 2444 2652 3196 3536 3666 4546 4794 4888 5304 6392 6819 7332 9092 9588 9776 10387 10608 12784 13638 14664 18184 19176 20774 27276 29328 29549 31161 36368 38352 38641 41548 54552 59098 62322 77282 83096 88647 106831 109104 115923 118196 124644 154564 166192 177294 213662 231846 236392 249288 309128 320493 354588 427324 463692 472784 498576 502333 618256 640986 709176 854648 927384 1004666 1281972 1388803 1418352 1506999 1709296 1816127 1854768 2009332 2563944 2777606 3013998 3632254 4018664 4166409 5127888 5448381 5555212 6027996 7264508 8037328 8332818 10896762 11110424 12055992 14529016 16665636 21793524 22220848 23609651 24111984 29058032 33331272 43587048 47219302 66662544 70828953 87174096 94438604 141657906 188877208 283315812 377754416 566631624 1133263248