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1125591552 = 293583109
BaseRepresentation
bin100001100010111…
…0010101000000000
32220102222222100000
41003011302220000
54301122412202
6303405200000
736615241011
oct10305625000
92812888300
101125591552
11528404658
12274b60000
1314c271207
14a96c1008
1568c3d91c
hex43172a00

1125591552 has 240 divisors, whose sum is σ = 3440717280. Its totient is φ = 367276032.

The previous prime is 1125591547. The next prime is 1125591583. The reversal of 1125591552 is 2551955211.

It is a happy number.

1125591552 is a `hidden beast` number, since 1 + 12 + 5 + 5 + 91 + 552 = 666.

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

Its product of digits (22500) is a multiple of the sum of its prime factors (225).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10326474 + ... + 10326582.

It is an arithmetic number, because the mean of its divisors is an integer number (14336322).

Almost surely, 21125591552 is an apocalyptic number.

1125591552 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 1125591552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720358640).

1125591552 is an abundant number, since it is smaller than the sum of its proper divisors (2315125728).

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

1125591552 is an frugal number, since it uses more digits than its factorization.

1125591552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its digits is 22500, while the sum is 36.

The square root of 1125591552 is about 33549.8368401398. The cubic root of 1125591552 is about 1040.2241725833.

The spelling of 1125591552 in words is "one billion, one hundred twenty-five million, five hundred ninety-one thousand, five hundred fifty-two".