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425461608 = 2332111331243
BaseRepresentation
bin11001010111000…
…000011101101000
31002122120200121100
4121113000131220
51332404232413
6110115041400
713354235565
oct3127003550
91078520540
10425461608
111a9186670
12ba5a0260
136a1b7940
144071186c
1527542a73
hex195c0768

425461608 has 288 divisors, whose sum is σ = 1431349920. Its totient is φ = 112492800.

The previous prime is 425461559. The next prime is 425461637. The reversal of 425461608 is 806164524.

425461608 is a `hidden beast` number, since 4 + 2 + 5 + 46 + 1 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 9894435 + ... + 9894477.

It is an arithmetic number, because the mean of its divisors is an integer number (4969965).

Almost surely, 2425461608 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 425461608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715674960).

425461608 is an abundant number, since it is smaller than the sum of its proper divisors (1005888312).

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

425461608 is a wasteful number, since it uses less digits than its factorization.

425461608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 425461608 is about 20626.7207282205. The cubic root of 425461608 is about 752.1194025357.

The spelling of 425461608 in words is "four hundred twenty-five million, four hundred sixty-one thousand, six hundred eight".