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3053868480 = 26365131953
BaseRepresentation
bin1011011000000110…
…0101010111000000
321212211101121000000
42312001211113000
522223242242410
61223011000000
7135451311435
oct26601452700
97784347000
103053868480
111327913653
12712899000
133988c5690
1420d829b8c
1512d184dc0
hexb60655c0

3053868480 has 784 divisors, whose sum is σ = 12592933920. Its totient is φ = 698720256.

The previous prime is 3053868479. The next prime is 3053868553. The reversal of 3053868480 is 848683503.

3053868480 is a `hidden beast` number, since 30 + 538 + 6 + 8 + 4 + 80 = 666.

It is a super-2 number, since 2×30538684802 = 18652225386275020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57620134 + ... + 57620186.

Almost surely, 23053868480 is an apocalyptic number.

3053868480 is a gapful number since it is divisible by the number (30) 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 3053868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296466960).

3053868480 is an abundant number, since it is smaller than the sum of its proper divisors (9539065440).

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

3053868480 is a wasteful number, since it uses less digits than its factorization.

3053868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3053868480 is about 55261.8175596858. The cubic root of 3053868480 is about 1450.8308326114.

The spelling of 3053868480 in words is "three billion, fifty-three million, eight hundred sixty-eight thousand, four hundred eighty".