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484456896 = 26337112331
BaseRepresentation
bin11100111000000…
…011100111000000
31020202120221221000
4130320003213000
51443010110041
6120023332000
715001546530
oct3470034700
91222527830
10484456896
11229510700
121162b1000
13794a24b1
14484ab4c0
152c7e7bb6
hex1ce039c0

484456896 has 336 divisors, whose sum is σ = 1794499840. Its totient is φ = 125452800.

The previous prime is 484456853. The next prime is 484456901. The reversal of 484456896 is 698654484.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

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, 1463451 + ... + 1463781.

Almost surely, 2484456896 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 484456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897249920).

484456896 is an abundant number, since it is smaller than the sum of its proper divisors (1310042944).

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

484456896 is a wasteful number, since it uses less digits than its factorization.

484456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 484456896 is about 22010.3815505320. The cubic root of 484456896 is about 785.3894215085.

The spelling of 484456896 in words is "four hundred eighty-four million, four hundred fifty-six thousand, eight hundred ninety-six".