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425529760 = 25529293313
BaseRepresentation
bin11001010111010…
…001000110100000
31002122201011002111
4121113101012200
51332413423020
6110120325104
713354641355
oct3127210640
91078634074
10425529760
111a9222897
12ba613794
136a20c976
144072c62c
1527557d5a
hex195d11a0

425529760 has 96 divisors (see below), whose sum is σ = 1046863440. Its totient is φ = 163258368.

The previous prime is 425529749. The next prime is 425529761. The reversal of 425529760 is 67925524.

It can be written as a sum of positive squares in 8 ways, for example, as 155650576 + 269879184 = 12476^2 + 16428^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (425529761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359364 + ... + 1359676.

Almost surely, 2425529760 is an apocalyptic number.

425529760 is a gapful number since it is divisible by the number (40) 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 425529760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523431720).

425529760 is an abundant number, since it is smaller than the sum of its proper divisors (621333680).

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

425529760 is a wasteful number, since it uses less digits than its factorization.

425529760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 425529760 is about 20628.3726939378. The cubic root of 425529760 is about 752.1595594726.

The spelling of 425529760 in words is "four hundred twenty-five million, five hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 293 313 464 580 586 626 928 1160 1172 1252 1465 1565 2320 2344 2504 2930 3130 4640 4688 5008 5860 6260 8497 9077 9376 10016 11720 12520 16994 18154 23440 25040 33988 36308 42485 45385 46880 50080 67976 72616 84970 90770 91709 135952 145232 169940 181540 183418 271904 290464 339880 363080 366836 458545 679760 726160 733672 917090 1359520 1452320 1467344 1834180 2659561 2934688 3668360 5319122 7336720 10638244 13297805 14673440 21276488 26595610 42552976 53191220 85105952 106382440 212764880 425529760