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455137056 = 25351117313
BaseRepresentation
bin11011001000001…
…101011100100000
31011201102100200000
4123020031130200
51413003341211
6113055100000
714164413123
oct3310153440
91151370600
10455137056
11213a05230
12108511600
13733a7c8a
14446383ba
1529e55656
hex1b20d720

455137056 has 288 divisors, whose sum is σ = 1555339968. Its totient is φ = 129392640.

The previous prime is 455137027. The next prime is 455137061. The reversal of 455137056 is 650731554.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 455137056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453956 + ... + 1454268.

It is an arithmetic number, because the mean of its divisors is an integer number (5400486).

Almost surely, 2455137056 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 455137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777669984).

455137056 is an abundant number, since it is smaller than the sum of its proper divisors (1100202912).

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

455137056 is a wasteful number, since it uses less digits than its factorization.

455137056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 455137056 is about 21333.9414080005. The cubic root of 455137056 is about 769.2143873516.

The spelling of 455137056 in words is "four hundred fifty-five million, one hundred thirty-seven thousand, fifty-six".