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1468088808 = 233192295843
BaseRepresentation
bin101011110000001…
…0100000111101000
310210022110122020120
41113200110013220
511001312320213
6401402123240
751244356204
oct12740240750
93708418216
101468088808
1169377493a
1234b7b0520
131a51cb404
14dcd97b04
1588d44423
hex578141e8

1468088808 has 96 divisors (see below), whose sum is σ = 4007815200. Its totient is φ = 447543936.

The previous prime is 1468088807. The next prime is 1468088813. The reversal of 1468088808 is 8088808641.

It is not an unprimeable number, because it can be changed into a prime (1468088801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248335 + ... + 254177.

It is an arithmetic number, because the mean of its divisors is an integer number (41748075).

Almost surely, 21468088808 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 1468088808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003907600).

1468088808 is an abundant number, since it is smaller than the sum of its proper divisors (2539726392).

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

1468088808 is a wasteful number, since it uses less digits than its factorization.

1468088808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 51.

The square root of 1468088808 is about 38315.6470387752. The cubic root of 1468088808 is about 1136.5383883391.

The spelling of 1468088808 in words is "one billion, four hundred sixty-eight million, eighty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 361 456 551 696 722 1083 1102 1444 1653 2166 2204 2888 3306 4332 4408 5843 6612 8664 10469 11686 13224 17529 20938 23372 31407 35058 41876 46744 62814 70116 83752 111017 125628 140232 169447 222034 251256 333051 338894 444068 508341 666102 677788 888136 1016682 1332204 1355576 2033364 2109323 2664408 3219493 4066728 4218646 6327969 6438986 8437292 9658479 12655938 12877972 16874584 19316958 25311876 25755944 38633916 50623752 61170367 77267832 122340734 183511101 244681468 367022202 489362936 734044404 1468088808