Search a number
-
+
1132649952 = 25376127631
BaseRepresentation
bin100001110000010…
…1101110111100000
32220221021120122020
41003200231313200
54304424244302
6304220341440
740032236310
oct10340556740
92827246566
101132649952
11531395745
122773a4880
13150872b95
14aa5db440
1569684ebc
hex4382dde0

1132649952 has 96 divisors (see below), whose sum is σ = 3453778944. Its totient is φ = 318297600.

The previous prime is 1132649929. The next prime is 1132649977. The reversal of 1132649952 is 2599462311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27177 + ... + 54807.

It is an arithmetic number, because the mean of its divisors is an integer number (35976864).

Almost surely, 21132649952 is an apocalyptic number.

1132649952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132649952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726889472).

1132649952 is an abundant number, since it is smaller than the sum of its proper divisors (2321128992).

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

1132649952 is a wasteful number, since it uses less digits than its factorization.

1132649952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27712 (or 27704 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 1132649952 is about 33654.8652054944. The cubic root of 1132649952 is about 1042.3940017250.

The spelling of 1132649952 in words is "one billion, one hundred thirty-two million, six hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 27631 40992 55262 82893 110524 165786 193417 221048 331572 386834 442096 580251 663144 773668 884192 1160502 1326288 1547336 1685491 2321004 2652576 3094672 3370982 4642008 5056473 6189344 6741964 9284016 10112946 11798437 13483928 18568032 20225892 23596874 26967856 35395311 40451784 47193748 53935712 70790622 80903568 94387496 141581244 161807136 188774992 283162488 377549984 566324976 1132649952