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455003640 = 23325713171943
BaseRepresentation
bin11011000111101…
…100110111111000
31011201011120122200
4123013230313320
51412440104030
6113052150200
714163316140
oct3307546770
91151146580
10455003640
11213923a73
12108468360
137335c330
1444601920
1529e2ad60
hex1b1ecdf8

455003640 has 768 divisors, whose sum is σ = 2075673600. Its totient is φ = 83607552.

The previous prime is 455003587. The next prime is 455003701. The reversal of 455003640 is 46300554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10581459 + ... + 10581501.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2455003640 is an apocalyptic number.

455003640 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 455003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

455003640 is an abundant number, since it is smaller than the sum of its proper divisors (1620669960).

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

455003640 is a wasteful number, since it uses less digits than its factorization.

455003640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 455003640 is about 21330.8143304469. The cubic root of 455003640 is about 769.1392191251.

The spelling of 455003640 in words is "four hundred fifty-five million, three thousand, six hundred forty".