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1056987648 = 293217103131
BaseRepresentation
bin111111000000000…
…101101000000000
32201122220112110200
4333000011220000
54131042101043
6252514525200
735123150433
oct7700055000
92648815420
101056987648
114a2707512
12255b96800
1313aca0ca2
14a054381a
1562bdb7d3
hex3f005a00

1056987648 has 240 divisors, whose sum is σ = 3286236096. Its totient is φ = 325877760.

The previous prime is 1056987643. The next prime is 1056987671. The reversal of 1056987648 is 8467896501.

1056987648 is a `hidden beast` number, since 1 + 0 + 569 + 8 + 76 + 4 + 8 = 666.

It is a super-2 number, since 2×10569876482 = 2234445776049143808, which contains 22 as substring.

It is a zygodrome in base 4 and base 8.

It is a junction number, because it is equal to n+sod(n) for n = 1056987594 and 1056987603.

It is not an unprimeable number, because it can be changed into a prime (1056987643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8068543 + ... + 8068673.

Almost surely, 21056987648 is an apocalyptic number.

1056987648 is a gapful number since it is divisible by the number (18) 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 1056987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643118048).

1056987648 is an abundant number, since it is smaller than the sum of its proper divisors (2229248448).

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

1056987648 is a wasteful number, since it uses less digits than its factorization.

1056987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1056987648 is about 32511.3464501241. The cubic root of 1056987648 is about 1018.6460466878.

The spelling of 1056987648 in words is "one billion, fifty-six million, nine hundred eighty-seven thousand, six hundred forty-eight".