Search a number
-
+
425440512 = 28357977
BaseRepresentation
bin11001010110111…
…011010100000000
31002122112121200000
4121112323110000
51332403044022
6110114400000
713354120230
oct3126732400
91078477600
10425440512
111a9171832
12ba590000
136a1ab163
1440707cc0
152753b6ac
hex195bb500

425440512 has 216 divisors, whose sum is σ = 1455295296. Its totient is φ = 121430016.

The previous prime is 425440511. The next prime is 425440513. The reversal of 425440512 is 215044524.

425440512 is a `hidden beast` number, since 4 + 254 + 405 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (425440511) and next prime (425440513).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425440511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 434968 + ... + 435944.

Almost surely, 2425440512 is an apocalyptic number.

425440512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727647648).

425440512 is an abundant number, since it is smaller than the sum of its proper divisors (1029854784).

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

425440512 is an frugal number, since it uses more digits than its factorization.

425440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 425440512 is about 20626.2093463632. The cubic root of 425440512 is about 752.1069713528.

The spelling of 425440512 in words is "four hundred twenty-five million, four hundred forty thousand, five hundred twelve".