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4531090032 = 243276137333
BaseRepresentation
bin1000011100001001…
…01111001001110000
3102200210001020000100
410032010233021300
533234424340112
62025340552400
7220166426010
oct41604571160
912623036010
104531090032
111a15756007
12a65552700
13572970981
1430dabdc40
151b7bd02dc
hex10e12f270

4531090032 has 120 divisors (see below), whose sum is σ = 14517917024. Its totient is φ = 1292308992.

The previous prime is 4531090013. The next prime is 4531090033. The reversal of 4531090032 is 2300901354.

It is a super-2 number, since 2×45310900322 = 41061553756179522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4531089978 and 4531090005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4531090033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614238 + ... + 621570.

Almost surely, 24531090032 is an apocalyptic number.

4531090032 is a gapful number since it is divisible by the number (42) 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 4531090032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258958512).

4531090032 is an abundant number, since it is smaller than the sum of its proper divisors (9986826992).

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

4531090032 is a wasteful number, since it uses less digits than its factorization.

4531090032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4531090032 is about 67313.3718662199. The cubic root of 4531090032 is about 1654.7570137633.

Adding to 4531090032 its reverse (2300901354), we get a palindrome (6831991386).

The spelling of 4531090032 in words is "four billion, five hundred thirty-one million, ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 613 1008 1226 1839 2452 3678 4291 4904 5517 7333 7356 8582 9808 11034 12873 14666 14712 17164 21999 22068 25746 29332 29424 34328 38619 43998 44136 51331 51492 58664 65997 68656 77238 87996 88272 102662 102984 117328 131994 153993 154476 175992 205324 205968 263988 307986 308952 351984 410648 461979 527976 615972 617904 821296 923958 1055952 1231944 1847916 2463888 3695832 4495129 7391664 8990258 13485387 17980516 26970774 31465903 35961032 40456161 53941548 62931806 71922064 80912322 94397709 107883096 125863612 161824644 188795418 215766192 251727224 283193127 323649288 377590836 503454448 566386254 647298576 755181672 1132772508 1510363344 2265545016 4531090032