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1057831488 = 263674179
BaseRepresentation
bin111111000011010…
…011101001000000
32201201111102000000
4333003103221000
54131301101423
6252545000000
735133263550
oct7703235100
92651442000
101057831488
114a31334aa
12256323000
1313b2080bc
14a06c3160
1562d06843
hex3f0d3a40

1057831488 has 392 divisors, whose sum is σ = 3731239680. Its totient is φ = 291133440.

The previous prime is 1057831487. The next prime is 1057831501. The reversal of 1057831488 is 8841387501.

It is a happy number.

1057831488 is a `hidden beast` number, since 1 + 0 + 578 + 31 + 48 + 8 = 666.

It is a super-2 number, since 2×10578314882 = 2238014914008588288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057831487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13390233 + ... + 13390311.

Almost surely, 21057831488 is an apocalyptic number.

1057831488 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 1057831488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865619840).

1057831488 is an abundant number, since it is smaller than the sum of its proper divisors (2673408192).

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

1057831488 is an frugal number, since it uses more digits than its factorization.

1057831488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1057831488 is about 32524.3214840833. The cubic root of 1057831488 is about 1018.9170513167.

The spelling of 1057831488 in words is "one billion, fifty-seven million, eight hundred thirty-one thousand, four hundred eighty-eight".