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1125299952 = 24357173239
BaseRepresentation
bin100001100010010…
…1011011011110000
32220102110011100000
41003010223123300
54301034044302
6303355030000
736612614610
oct10304533360
92812404300
101125299952
11528225567
12274a3b300
1314c19b57a
14a9646a40
1568bd231c
hex4312b6f0

1125299952 has 240 divisors, whose sum is σ = 3769758720. Its totient is φ = 318318336.

The previous prime is 1125299951. The next prime is 1125299983. The reversal of 1125299952 is 2599925211.

1125299952 is a `hidden beast` number, since 112 + 529 + 9 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1125299898 and 1125299907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125299951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4708249 + ... + 4708487.

It is an arithmetic number, because the mean of its divisors is an integer number (15707328).

Almost surely, 21125299952 is an apocalyptic number.

1125299952 is a gapful number since it is divisible by the number (12) 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 1125299952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884879360).

1125299952 is an abundant number, since it is smaller than the sum of its proper divisors (2644458768).

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

1125299952 is a wasteful number, since it uses less digits than its factorization.

1125299952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 424 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 1125299952 is about 33545.4907849028. The cubic root of 1125299952 is about 1040.1343366904.

The spelling of 1125299952 in words is "one billion, one hundred twenty-five million, two hundred ninety-nine thousand, nine hundred fifty-two".