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745460625 = 35471317257
BaseRepresentation
bin101100011011101…
…101001110010001
31220221201022201210
4230123231032101
53011314220000
6201545450333
724321211410
oct5433551621
91827638653
10745460625
1135287a668
121897a09a9
13bb598580
147100d477
15456a2350
hex2c6ed391

745460625 has 160 divisors (see below), whose sum is σ = 1624879872. Its totient is φ = 294912000.

The previous prime is 745460621. The next prime is 745460641. The reversal of 745460625 is 526064547.

It is not a de Polignac number, because 745460625 - 22 = 745460621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745460621) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2900497 + ... + 2900753.

Almost surely, 2745460625 is an apocalyptic number.

745460625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

745460625 is an abundant number, since it is smaller than the sum of its proper divisors (879419247).

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

745460625 is a wasteful number, since it uses less digits than its factorization.

745460625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 745460625 is about 27303.1248211629. The cubic root of 745460625 is about 906.7235654141.

The spelling of 745460625 in words is "seven hundred forty-five million, four hundred sixty thousand, six hundred twenty-five".

Divisors: 1 3 5 7 13 15 17 21 25 35 39 51 65 75 85 91 105 119 125 175 195 221 255 257 273 325 357 375 425 455 525 595 625 663 771 875 975 1105 1275 1285 1365 1547 1625 1785 1799 1875 2125 2275 2625 2975 3315 3341 3855 4369 4375 4641 4875 5397 5525 6375 6425 6825 7735 8125 8925 8995 10023 10625 11375 13107 13125 14875 16575 16705 19275 21845 23205 23387 24375 26985 27625 30583 31875 32125 34125 38675 44625 44975 50115 56797 56875 65535 70161 74375 82875 83525 91749 96375 109225 116025 116935 134925 138125 152915 160625 170391 170625 193375 223125 224875 250575 283985 327675 350805 397579 414375 417625 458745 481875 546125 580125 584675 674625 764575 851955 966875 1124375 1192737 1252875 1419925 1638375 1754025 1987895 2088125 2293725 2730625 2900625 2923375 3373125 3822875 4259775 5963685 6264375 7099625 8191875 8770125 9939475 11468625 14616875 19114375 21298875 29818425 35498125 43850625 49697375 57343125 106494375 149092125 248486875 745460625