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485274240 = 27345112337
BaseRepresentation
bin11100111011001…
…011001010000000
31020211010111010000
4130323023022000
51443212233430
6120053040000
715011522463
oct3473131200
91224114100
10485274240
11229a197a0
12116626000
13796ca529
14486412da
152c909e60
hex1cecb280

485274240 has 640 divisors, whose sum is σ = 2026062720. Its totient is φ = 109486080.

The previous prime is 485274199. The next prime is 485274241. The reversal of 485274240 is 42472584.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 485274195 and 485274204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485274241) 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 79 ways as a sum of consecutive naturals, for example, 13115502 + ... + 13115538.

It is an arithmetic number, because the mean of its divisors is an integer number (3165723).

Almost surely, 2485274240 is an apocalyptic number.

485274240 is a gapful number since it is divisible by the number (40) 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 485274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013031360).

485274240 is an abundant number, since it is smaller than the sum of its proper divisors (1540788480).

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

485274240 is a wasteful number, since it uses less digits than its factorization.

485274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 485274240 is about 22028.9409641045. The cubic root of 485274240 is about 785.8308592404.

The spelling of 485274240 in words is "four hundred eighty-five million, two hundred seventy-four thousand, two hundred forty".