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896181968 = 2411192631019
BaseRepresentation
bin110101011010101…
…010011011010000
32022110022202112202
4311122222123100
53313410310333
6224532142332
731131264263
oct6532523320
92273282482
10896181968
1141a964860
122101679a8
1311388a8b6
1487044cda
1553a255e8
hex356aa6d0

896181968 has 80 divisors (see below), whose sum is σ = 2003443200. Its totient is φ = 384071040.

The previous prime is 896181941. The next prime is 896182009. The reversal of 896181968 is 869181698.

896181968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

896181968 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878963 + ... + 879981.

It is an arithmetic number, because the mean of its divisors is an integer number (25043040).

Almost surely, 2896181968 is an apocalyptic number.

896181968 is a gapful number since it is divisible by the number (88) 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 896181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001721600).

896181968 is an abundant number, since it is smaller than the sum of its proper divisors (1107261232).

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

896181968 is a wasteful number, since it uses less digits than its factorization.

896181968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 56.

The square root of 896181968 is about 29936.2985019858. The cubic root of 896181968 is about 964.1221644620.

The spelling of 896181968 in words is "eight hundred ninety-six million, one hundred eighty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 263 304 418 526 836 1019 1052 1672 2038 2104 2893 3344 4076 4208 4997 5786 8152 9994 11209 11572 16304 19361 19988 22418 23144 38722 39976 44836 46288 54967 77444 79952 89672 109934 154888 179344 212971 219868 267997 309776 425942 439736 535994 851884 879472 1071988 1703768 2143976 2947967 3407536 4287952 5091943 5895934 10183886 11791868 20367772 23583736 40735544 47167472 56011373 81471088 112022746 224045492 448090984 896181968