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1468922752 = 27117191451
BaseRepresentation
bin101011110001101…
…1111101110000000
310210101001000012101
41113203133232000
511002021012002
6401432040144
751254431423
oct12743375600
93711030171
101468922752
11694194450
1234bb33054
131a5430b7b
14dd1339ba
1588e5b587
hex578dfb80

1468922752 has 64 divisors (see below), whose sum is σ = 3199046400. Its totient is φ = 666304000.

The previous prime is 1468922747. The next prime is 1468922773. The reversal of 1468922752 is 2572298641.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1011627 + ... + 1013077.

It is an arithmetic number, because the mean of its divisors is an integer number (49985100).

Almost surely, 21468922752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468922752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599523200).

1468922752 is an abundant number, since it is smaller than the sum of its proper divisors (1730123648).

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

1468922752 is a wasteful number, since it uses less digits than its factorization.

1468922752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2183 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 1468922752 is about 38326.5280452065. The cubic root of 1468922752 is about 1136.7535501546.

The spelling of 1468922752 in words is "one billion, four hundred sixty-eight million, nine hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 719 1408 1438 1451 2876 2902 5752 5804 7909 11504 11608 15818 15961 23008 23216 31636 31922 46016 46432 63272 63844 92032 92864 126544 127688 185728 253088 255376 506176 510752 1012352 1021504 1043269 2043008 2086538 4173076 8346152 11475959 16692304 22951918 33384608 45903836 66769216 91807672 133538432 183615344 367230688 734461376 1468922752