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1125508608 = 293473877
BaseRepresentation
bin100001100010101…
…1110011000000000
32220102211202120000
41003011132120000
54301112233413
6303403320000
736614444130
oct10305363000
92812752500
101125508608
11528358304
12274b20000
1314c242533
14a969cac0
1568c24073
hex4315e600

1125508608 has 200 divisors, whose sum is σ = 3840243792. Its totient is φ = 321490944.

The previous prime is 1125508561. The next prime is 1125508609. The reversal of 1125508608 is 8068055211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125508609) 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 19 ways as a sum of consecutive naturals, for example, 288366 + ... + 292242.

Almost surely, 21125508608 is an apocalyptic number.

1125508608 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 1125508608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920121896).

1125508608 is an abundant number, since it is smaller than the sum of its proper divisors (2714735184).

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

1125508608 is an frugal number, since it uses more digits than its factorization.

1125508608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1125508608 is about 33548.6006861687. The cubic root of 1125508608 is about 1040.1986208418.

The spelling of 1125508608 in words is "one billion, one hundred twenty-five million, five hundred eight thousand, six hundred eight".