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425661520 = 24535315073
BaseRepresentation
bin11001010111110…
…001010001010000
31002122221211211111
4121113301101100
51332432132040
6110123223104
713356030454
oct3127612120
91078854744
10425661520
111a9302889
12ba677a94
136a25792b
1440764664
1527581dea
hex195f1450

425661520 has 40 divisors (see below), whose sum is σ = 992532456. Its totient is φ = 169771008.

The previous prime is 425661517. The next prime is 425661539. The reversal of 425661520 is 25166524.

It can be written as a sum of positive squares in 4 ways, for example, as 29333056 + 396328464 = 5416^2 + 19908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 20704 + ... + 35776.

Almost surely, 2425661520 is an apocalyptic number.

425661520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425661520 is an abundant number, since it is smaller than the sum of its proper divisors (566870936).

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

425661520 is a wasteful number, since it uses less digits than its factorization.

425661520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 425661520 is about 20631.5661063333. The cubic root of 425661520 is about 752.2371837469.

The spelling of 425661520 in words is "four hundred twenty-five million, six hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1412 1765 2824 3530 5648 7060 14120 15073 28240 30146 60292 75365 120584 150730 241168 301460 602920 1205840 5320769 10641538 21283076 26603845 42566152 53207690 85132304 106415380 212830760 425661520