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425519104 = 2111731201
BaseRepresentation
bin11001010111001…
…110100000000000
31002122200121110211
4121113032200000
51332413102404
6110120203504
713354565323
oct3127164000
91078617424
10425519104
111a921588a
12ba609594
136a207b6a
14407287ba
1527554b04
hex195ce800

425519104 has 48 divisors (see below), whose sum is σ = 856461060. Its totient is φ = 211353600.

The previous prime is 425519089. The next prime is 425519131. The reversal of 425519104 is 401915524.

It can be written as a sum of positive squares in 2 ways, for example, as 418120704 + 7398400 = 20448^2 + 2720^2 .

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 3 ways as a sum of consecutive naturals, for example, 353704 + ... + 354904.

Almost surely, 2425519104 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 425519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428230530).

425519104 is an abundant number, since it is smaller than the sum of its proper divisors (430941956).

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

425519104 is a wasteful number, since it uses less digits than its factorization.

425519104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 425519104 is about 20628.1144072841. The cubic root of 425519104 is about 752.1532809621.

The spelling of 425519104 in words is "four hundred twenty-five million, five hundred nineteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1201 1384 2048 2402 2768 4804 5536 9608 11072 19216 22144 38432 44288 76864 88576 153728 177152 207773 307456 354304 415546 614912 831092 1229824 1662184 2459648 3324368 6648736 13297472 26594944 53189888 106379776 212759552 425519104