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4983684480 = 273254147449
BaseRepresentation
bin1001010010000110…
…01111110110000000
3110212022200101212200
410221003033312000
540201310400410
62142305353200
7234333422235
oct45103176600
913768611780
104983684480
112128183a05
12b71038800
13615668538
14353c5578c
151e27d23c0
hex1290cfd80

4983684480 has 384 divisors, whose sum is σ = 18044208000. Its totient is φ = 1266155520.

The previous prime is 4983684457. The next prime is 4983684529. The reversal of 4983684480 is 844863894.

4983684480 is a `hidden beast` number, since 4 + 9 + 83 + 6 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49836844802 = 49674221992385740800, which contains 22 as substring.

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, 11099296 + ... + 11099744.

It is an arithmetic number, because the mean of its divisors is an integer number (46990125).

Almost surely, 24983684480 is an apocalyptic number.

4983684480 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 4983684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022104000).

4983684480 is an abundant number, since it is smaller than the sum of its proper divisors (13060523520).

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

4983684480 is a wasteful number, since it uses less digits than its factorization.

4983684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 4983684480 is about 70595.2157019157. The cubic root of 4983684480 is about 1708.1139768214.

The spelling of 4983684480 in words is "four billion, nine hundred eighty-three million, six hundred eighty-four thousand, four hundred eighty".