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420559425 = 335211134357
BaseRepresentation
bin11001000100010…
…011101001000001
31002022100122002000
4121010103221001
51330130400200
6105422014213
713264460526
oct3104235101
91068318060
10420559425
111a6438580
12b8a17369
136918c540
143dbd714d
1526dc5300
hex19113a41

420559425 has 96 divisors (see below), whose sum is σ = 907858560. Its totient is φ = 188179200.

The previous prime is 420559417. The next prime is 420559453. The reversal of 420559425 is 524955024.

420559425 is a `hidden beast` number, since 42 + 0 + 5 + 594 + 25 = 666.

It is not a de Polignac number, because 420559425 - 23 = 420559417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420559425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94347 + ... + 98703.

It is an arithmetic number, because the mean of its divisors is an integer number (9456860).

Almost surely, 2420559425 is an apocalyptic number.

420559425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420559425 is an abundant number, since it is smaller than the sum of its proper divisors (487299135).

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

420559425 is a wasteful number, since it uses less digits than its factorization.

420559425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 420559425 is about 20507.5455625484. The cubic root of 420559425 is about 749.2195882249.

The spelling of 420559425 in words is "four hundred twenty million, five hundred fifty-nine thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 27 33 39 45 55 65 75 99 117 135 143 165 195 225 275 297 325 351 429 495 585 675 715 825 975 1287 1485 1755 2145 2475 2925 3575 3861 4357 6435 7425 8775 10725 13071 19305 21785 32175 39213 47927 56641 65355 96525 108925 117639 143781 169923 196065 239635 283205 326775 431343 509769 588195 623051 718905 849615 980325 1198175 1294029 1416025 1529307 1869153 2156715 2548845 2940975 3115255 3594525 4248075 5607459 6470145 7646535 9345765 10783575 12744225 15576275 16822377 28037295 32350725 38232675 46728825 84111885 140186475 420559425