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4830827040 = 253451353541
BaseRepresentation
bin1000111111111000…
…01001001000100000
3110110200001102220000
410133330021020200
534343142431130
62115205220000
7230466231564
oct43774111040
913420042800
104830827040
11205996a946
12b29a01600
135bcaa8b50
1433b8256a4
151d418b260
hex11ff09220

4830827040 has 480 divisors, whose sum is σ = 18741236976. Its totient is φ = 1164533760.

The previous prime is 4830827021. The next prime is 4830827059. The reversal of 4830827040 is 407280384.

4830827040 is a `hidden beast` number, since 48 + 308 + 270 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4830827021) and next prime (4830827059).

It can be written as a sum of positive squares in 8 ways, for example, as 1458934416 + 3371892624 = 38196^2 + 58068^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 4830826986 and 4830827004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8929170 + ... + 8929710.

Almost surely, 24830827040 is an apocalyptic number.

4830827040 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 4830827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370618488).

4830827040 is an abundant number, since it is smaller than the sum of its proper divisors (13910409936).

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

4830827040 is a wasteful number, since it uses less digits than its factorization.

4830827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4830827040 is about 69504.1512429294. The cubic root of 4830827040 is about 1690.4688124350.

The spelling of 4830827040 in words is "four billion, eight hundred thirty million, eight hundred twenty-seven thousand, forty".