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1052777088 = 27351117181
BaseRepresentation
bin111110110000000…
…001101010000000
32201100222121200000
4332300001222000
54124002331323
6252244400000
735042312646
oct7660015200
92640877600
101052777088
114a02a1010
122546a6000
1313a15862c
149db69196
1562658e43
hex3ec01a80

1052777088 has 384 divisors, whose sum is σ = 3648939840. Its totient is φ = 298598400.

The previous prime is 1052777087. The next prime is 1052777093. The reversal of 1052777088 is 8807772501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10527770882 = 2216679194035519488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052777087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5816358 + ... + 5816538.

Almost surely, 21052777088 is an apocalyptic number.

1052777088 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 1052777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824469920).

1052777088 is an abundant number, since it is smaller than the sum of its proper divisors (2596162752).

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

1052777088 is a wasteful number, since it uses less digits than its factorization.

1052777088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 1052777088 is about 32446.5265937666. The cubic root of 1052777088 is about 1017.2916385003.

The spelling of 1052777088 in words is "one billion, fifty-two million, seven hundred seventy-seven thousand, eighty-eight".