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425322450 = 232527219289
BaseRepresentation
bin11001010110011…
…110011111010010
31002122022121201100
4121112132133102
51332340304300
6110112045230
713353116100
oct3126363722
91078277640
10425322450
111a90a1063
12ba533816
136a1694b7
14406b6c70
1527516700
hex1959e7d2

425322450 has 108 divisors (see below), whose sum is σ = 1329331770. Its totient is φ = 97211520.

The previous prime is 425322431. The next prime is 425322451. The reversal of 425322450 is 54223524.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 350101521 + 75220929 = 18711^2 + 8673^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (425322451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12406 + ... + 31694.

Almost surely, 2425322450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425322450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664665885).

425322450 is an abundant number, since it is smaller than the sum of its proper divisors (904009320).

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

425322450 is a wasteful number, since it uses less digits than its factorization.

425322450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19321 (or 19306 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 425322450 is about 20623.3472065036. The cubic root of 425322450 is about 752.0373936909.

Adding to 425322450 its reverse (54223524), we get a palindrome (479545974).

The spelling of 425322450 in words is "four hundred twenty-five million, three hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3150 3675 4410 7350 11025 19289 22050 38578 57867 96445 115734 135023 173601 192890 270046 289335 347202 405069 482225 578670 675115 810138 868005 945161 964450 1215207 1350230 1446675 1736010 1890322 2025345 2430414 2835483 2893350 3375575 4050690 4340025 4725805 5670966 6076035 6751150 8506449 8680050 9451610 10126725 12152070 14177415 17012898 20253450 23629025 28354830 30380175 42532245 47258050 60760350 70887075 85064490 141774150 212661225 425322450