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2545430304 = 253192395839
BaseRepresentation
bin1001011110111000…
…0010111100100000
320120101200020221110
42113232002330200
520203112232204
61100325223320
7120035541414
oct22756027440
96511606843
102545430304
11109691350a
125b0561b40
133174778a1
141a20b8d44
15ed701889
hex97b82f20

2545430304 has 96 divisors (see below), whose sum is σ = 7064064000. Its totient is φ = 800319744.

The previous prime is 2545430291. The next prime is 2545430341. The reversal of 2545430304 is 4030345452.

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

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, 433017 + ... + 438855.

It is an arithmetic number, because the mean of its divisors is an integer number (73584000).

Almost surely, 22545430304 is an apocalyptic number.

2545430304 is a gapful number since it is divisible by the number (24) 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 2545430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532032000).

2545430304 is an abundant number, since it is smaller than the sum of its proper divisors (4518633696).

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

2545430304 is a wasteful number, since it uses less digits than its factorization.

2545430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2545430304 is about 50452.2576699993. The cubic root of 2545430304 is about 1365.3806277953.

Adding to 2545430304 its reverse (4030345452), we get a palindrome (6575775756).

The spelling of 2545430304 in words is "two billion, five hundred forty-five million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 239 304 456 478 608 717 912 956 1434 1824 1912 2868 3824 4541 5736 5839 7648 9082 11472 11678 13623 17517 18164 22944 23356 27246 35034 36328 46712 54492 70068 72656 93424 108984 110941 140136 145312 186848 217968 221882 280272 332823 435936 443764 560544 665646 887528 1331292 1395521 1775056 2662584 2791042 3550112 4186563 5325168 5582084 8373126 10650336 11164168 16746252 22328336 26514899 33492504 44656672 53029798 66985008 79544697 106059596 133970016 159089394 212119192 318178788 424238384 636357576 848476768 1272715152 2545430304