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1328955552 = 253317173523
BaseRepresentation
bin100111100110110…
…0100000010100000
310102121122221022000
41033031210002200
510210203034202
6335512044000
744634635661
oct11715440240
93377587260
101328955552
11622184a81
12311093600
13182435742
14c86db368
157ba0e91c
hex4f3640a0

1328955552 has 192 divisors, whose sum is σ = 4135743360. Its totient is φ = 413724672.

The previous prime is 1328955527. The next prime is 1328955553. The reversal of 1328955552 is 2555598231.

It is a happy number.

1328955552 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 95 + 5 + 552 = 666.

It is a super-2 number, since 2×13289555522 = 3532245718383249408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1328955498 and 1328955507.

It is not an unprimeable number, because it can be changed into a prime (1328955553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540763 + ... + 2541285.

It is an arithmetic number, because the mean of its divisors is an integer number (21540330).

Almost surely, 21328955552 is an apocalyptic number.

1328955552 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 1328955552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067871680).

1328955552 is an abundant number, since it is smaller than the sum of its proper divisors (2806787808).

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

1328955552 is a wasteful number, since it uses less digits than its factorization.

1328955552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 718 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 1328955552 is about 36454.8426412733. The cubic root of 1328955552 is about 1099.4365025708.

The spelling of 1328955552 in words is "one billion, three hundred twenty-eight million, nine hundred fifty-five thousand, five hundred fifty-two".