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425495540 = 22529241617
BaseRepresentation
bin11001010111001…
…000101111110100
31002122122102011002
4121113020233310
51332411324130
6110115502432
713354436531
oct3127105764
91078572132
10425495540
111a91aa108
12ba5b7a18
136a1ca212
144071dd88
152754cb45
hex195c8bf4

425495540 has 72 divisors (see below), whose sum is σ = 949522392. Its totient is φ = 160061440.

The previous prime is 425495537. The next prime is 425495563. The reversal of 425495540 is 45594524.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 312158224 + 113337316 = 17668^2 + 10646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 425495494 and 425495503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689312 + ... + 689928.

It is an arithmetic number, because the mean of its divisors is an integer number (13187811).

Almost surely, 2425495540 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 425495540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474761196).

425495540 is an abundant number, since it is smaller than the sum of its proper divisors (524026852).

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

425495540 is a wasteful number, since it uses less digits than its factorization.

425495540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 425495540 is about 20627.5432371381. The cubic root of 425495540 is about 752.1393966915.

The spelling of 425495540 in words is "four hundred twenty-five million, four hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 617 820 841 1189 1234 1682 2378 2468 3085 3364 4205 4756 5945 6170 8410 11890 12340 16820 17893 23780 25297 34481 35786 50594 68962 71572 89465 101188 126485 137924 172405 178930 252970 344810 357860 505940 518897 689620 733613 1037794 1467226 2075588 2594485 2934452 3668065 5188970 7336130 10377940 14672260 21274777 42549554 85099108 106373885 212747770 425495540