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455288640 = 263519109229
BaseRepresentation
bin11011001000110…
…010011101000000
31011201201001121020
4123020302131000
51413023214030
6113102225440
714165614062
oct3310623500
91151631536
10455288640
11213aa9104
12108585280
137342bc81
1444677732
1529e85510
hex1b232740

455288640 has 224 divisors, whose sum is σ = 1542288000. Its totient is φ = 113467392.

The previous prime is 455288629. The next prime is 455288653. The reversal of 455288640 is 46882554.

It is a junction number, because it is equal to n+sod(n) for n = 455288592 and 455288601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988046 + ... + 1988274.

Almost surely, 2455288640 is an apocalyptic number.

455288640 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 455288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771144000).

455288640 is an abundant number, since it is smaller than the sum of its proper divisors (1086999360).

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

455288640 is a wasteful number, since it uses less digits than its factorization.

455288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 455288640 is about 21337.4937609833. The cubic root of 455288640 is about 769.2997738302.

The spelling of 455288640 in words is "four hundred fifty-five million, two hundred eighty-eight thousand, six hundred forty".