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425341216 = 2541734441
BaseRepresentation
bin11001010110100…
…011000100100000
31002122100120110101
4121112203010200
51332341404331
6110112312144
713353224566
oct3126430440
91078316411
10425341216
111a9104173
12ba542654
136a174bc1
14406bda36
152751c061
hex195a3120

425341216 has 48 divisors (see below), whose sum is σ = 869761368. Its totient is φ = 204595200.

The previous prime is 425341193. The next prime is 425341229. The reversal of 425341216 is 612143524.

It can be written as a sum of positive squares in 4 ways, for example, as 249513616 + 175827600 = 15796^2 + 13260^2 .

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 7 ways as a sum of consecutive naturals, for example, 93556 + ... + 97996.

Almost surely, 2425341216 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 425341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434880684).

425341216 is an abundant number, since it is smaller than the sum of its proper divisors (444420152).

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

425341216 is a wasteful number, since it uses less digits than its factorization.

425341216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4557 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 425341216 is about 20623.8021712777. The cubic root of 425341216 is about 752.0484539474.

The spelling of 425341216 in words is "four hundred twenty-five million, three hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 41 73 82 146 164 292 328 584 656 1168 1312 2336 2993 4441 5986 8882 11972 17764 23944 35528 47888 71056 95776 142112 182081 324193 364162 648386 728324 1296772 1456648 2593544 2913296 5187088 5826592 10374176 13291913 26583826 53167652 106335304 212670608 425341216