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2553078784 = 21015792
BaseRepresentation
bin1001100000101100…
…1110010000000000
320120221001211200111
42120023032100000
520212042010114
61101201201104
7120160545244
oct23013162000
96527054614
102553078784
1110a0167973
125b3030194
13318c25009
141a310a424
15ee212bc4
hex982ce400

2553078784 has 33 divisors (see below), whose sum is σ = 5106898587. Its totient is φ = 1275730944.

The previous prime is 2553078727. The next prime is 2553078791. The reversal of 2553078784 is 4878703552.

The square root of 2553078784 is 50528.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×25530787842 = 13036422554621837312, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1616107 + ... + 1617685.

Almost surely, 22553078784 is an apocalyptic number.

2553078784 is the 50528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553078784

2553078784 is an abundant number, since it is smaller than the sum of its proper divisors (2553819803).

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

2553078784 is an frugal number, since it uses more digits than its factorization.

2553078784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

The cubic root of 2553078784 is about 1366.7468203899.

Multiplying 2553078784 by its sum of digits (49), we get a square (125100860416 = 3536962).

The spelling of 2553078784 in words is "two billion, five hundred fifty-three million, seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1579 3158 6316 12632 25264 50528 101056 202112 404224 808448 1616896 2493241 4986482 9972964 19945928 39891856 79783712 159567424 319134848 638269696 1276539392 2553078784