Search a number
-
+
1146303552 = 26341914249
BaseRepresentation
bin100010001010011…
…0011010001000000
32221212222020212010
41010110303101000
54321423203202
6305425132520
740256263602
oct10424632100
92855866763
101146303552
11539070909
1227ba8a140
13153643734
14ac353172
156a98076c
hex44533440

1146303552 has 56 divisors (see below), whose sum is σ = 3040380000. Its totient is φ = 381162496.

The previous prime is 1146303551. The next prime is 1146303553. The reversal of 1146303552 is 2553036411.

It is an interprime number because it is at equal distance from previous prime (1146303551) and next prime (1146303553).

It is not an unprimeable number, because it can be changed into a prime (1146303551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73324 + ... + 87572.

It is an arithmetic number, because the mean of its divisors is an integer number (54292500).

Almost surely, 21146303552 is an apocalyptic number.

1146303552 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 1146303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520190000).

1146303552 is an abundant number, since it is smaller than the sum of its proper divisors (1894076448).

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

1146303552 is a wasteful number, since it uses less digits than its factorization.

1146303552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14683 (or 14673 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1146303552 is about 33857.1048969046. The cubic root of 1146303552 is about 1046.5658178805.

Adding to 1146303552 its reverse (2553036411), we get a palindrome (3699339963).

It can be divided in two parts, 1146303 and 552, that added together give a triangular number (1146855 = T1514).

The spelling of 1146303552 in words is "one billion, one hundred forty-six million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 419 838 1257 1676 2514 3352 5028 6704 10056 13408 14249 20112 26816 28498 40224 42747 56996 80448 85494 113992 170988 227984 341976 455968 683952 911936 1367904 2735808 5970331 11940662 17910993 23881324 35821986 47762648 71643972 95525296 143287944 191050592 286575888 382101184 573151776 1146303552