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4055028480 = 2835513037
BaseRepresentation
bin1111000110110010…
…1101001100000000
3101110121020210100000
43301230231030000
531301041402410
61510213200000
7202326113316
oct36154551400
911417223300
104055028480
1117a0a59a08
12952030000
134c814a849
142a679a0b6
1518aee4dc0
hexf1b2d300

4055028480 has 216 divisors, whose sum is σ = 14550720912. Its totient is φ = 1081257984.

The previous prime is 4055028457. The next prime is 4055028493. The reversal of 4055028480 is 848205504.

4055028480 is a `hidden beast` number, since 4 + 0 + 550 + 28 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×40550284802 = 32886511947222220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304522 + ... + 317558.

Almost surely, 24055028480 is an apocalyptic number.

4055028480 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 4055028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275360456).

4055028480 is an abundant number, since it is smaller than the sum of its proper divisors (10495692432).

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

4055028480 is an equidigital number, since it uses as much as digits as its factorization.

4055028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13073 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4055028480 is about 63679.1055213561. The cubic root of 4055028480 is about 1594.6472793746.

The spelling of 4055028480 in words is "four billion, fifty-five million, twenty-eight thousand, four hundred eighty".