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1333481952 = 253112114797
BaseRepresentation
bin100111101111011…
…0101000111100000
310102221011220100110
41033132311013200
510212332410302
6340153051320
745021260325
oct11736650740
93387156313
101333481952
11624796800
123126b6b40
1318335ba9a
14c9158b4c
157c105b6c
hex4f7b51e0

1333481952 has 72 divisors (see below), whose sum is σ = 3847569768. Its totient is φ = 404081920.

The previous prime is 1333481861. The next prime is 1333481977. The reversal of 1333481952 is 2591843331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1333481952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45783 + ... + 69014.

It is an arithmetic number, because the mean of its divisors is an integer number (53438469).

Almost surely, 21333481952 is an apocalyptic number.

1333481952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1333481952 is an abundant number, since it is smaller than the sum of its proper divisors (2514087816).

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

1333481952 is a wasteful number, since it uses less digits than its factorization.

1333481952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114832 (or 114813 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 1333481952 is about 36516.8721552107. The cubic root of 1333481952 is about 1100.6833087810.

The spelling of 1333481952 in words is "one billion, three hundred thirty-three million, four hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 114797 229594 344391 459188 688782 918376 1262767 1377564 1836752 2525534 2755128 3673504 3788301 5051068 5510256 7576602 10102136 11020512 13890437 15153204 20204272 27780874 30306408 40408544 41671311 55561748 60612816 83342622 111123496 121225632 166685244 222246992 333370488 444493984 666740976 1333481952