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1126823488 = 2672818951
BaseRepresentation
bin100001100101001…
…1111011001000000
32220112022120020021
41003022133121000
54301431322423
6303451423224
736631561450
oct10312373100
92815276207
101126823488
1152907618a
12275454b14
1314c5b2b7b
14a9921d60
1568dd395d
hex4329f640

1126823488 has 56 divisors (see below), whose sum is σ = 2564855424. Its totient is φ = 481152000.

The previous prime is 1126823483. The next prime is 1126823491. The reversal of 1126823488 is 8843286211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×11268234882 = 2539462346216972288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1126823483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 121413 + ... + 130363.

Almost surely, 21126823488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282427712).

1126823488 is an abundant number, since it is smaller than the sum of its proper divisors (1438031936).

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

1126823488 is an equidigital number, since it uses as much as digits as its factorization.

1126823488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251 (or 9241 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 1126823488 is about 33568.1916105113. The cubic root of 1126823488 is about 1040.6035352888.

The spelling of 1126823488 in words is "one billion, one hundred twenty-six million, eight hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 281 448 562 1124 1967 2248 3934 4496 7868 8951 8992 15736 17902 17984 31472 35804 62657 62944 71608 125314 125888 143216 250628 286432 501256 572864 1002512 2005024 2515231 4010048 5030462 10060924 17606617 20121848 35213234 40243696 70426468 80487392 140852936 160974784 281705872 563411744 1126823488