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625641140 = 2251737411213
BaseRepresentation
bin100101010010101…
…000011010110100
31121121020212022002
4211102220122310
52240131004030
6142025354432
721334601435
oct4522503264
91547225262
10625641140
112a11814a3
12155638a18
139c805877
145d13d48c
1539dd5245
hex254a86b4

625641140 has 96 divisors (see below), whose sum is σ = 1464783264. Its totient is φ = 223395840.

The previous prime is 625641131. The next prime is 625641151. The reversal of 625641140 is 41146526.

It can be written as a sum of positive squares in 16 ways, for example, as 236052496 + 389588644 = 15364^2 + 19738^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515174 + ... + 516386.

It is an arithmetic number, because the mean of its divisors is an integer number (15258159).

Almost surely, 2625641140 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 625641140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732391632).

625641140 is an abundant number, since it is smaller than the sum of its proper divisors (839142124).

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

625641140 is a wasteful number, since it uses less digits than its factorization.

625641140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 625641140 is about 25012.8195132016. The cubic root of 625641140 is about 855.2802291544.

Adding to 625641140 its reverse (41146526), we get a palindrome (666787666).

The spelling of 625641140 in words is "six hundred twenty-five million, six hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 41 68 74 82 85 148 164 170 185 205 340 370 410 629 697 740 820 1213 1258 1394 1517 2426 2516 2788 3034 3145 3485 4852 6065 6068 6290 6970 7585 12130 12580 13940 15170 20621 24260 25789 30340 41242 44881 49733 51578 82484 89762 99466 103105 103156 128945 179524 198932 206210 224405 248665 257890 412420 448810 497330 515780 762977 845461 897620 994660 1525954 1690922 1840121 3051908 3381844 3680242 3814885 4227305 7360484 7629770 8454610 9200605 15259540 16909220 18401210 31282057 36802420 62564114 125128228 156410285 312820570 625641140