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4231648608 = 2531110913673
BaseRepresentation
bin1111110000111001…
…1101010101100000
3101220220121000121020
43330032131111200
532131300223413
61535522525440
7206602263645
oct37416352540
911826530536
104231648608
111881723260
129a1206880
1352590a1b5
142c2013dcc
1519b781c23
hexfc39d560

4231648608 has 96 divisors (see below), whose sum is σ = 12132312192. Its totient is φ = 1280793600.

The previous prime is 4231648573. The next prime is 4231648609. The reversal of 4231648608 is 8068461324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4231648608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231648609) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1150260 + ... + 1153932.

It is an arithmetic number, because the mean of its divisors is an integer number (126378252).

Almost surely, 24231648608 is an apocalyptic number.

4231648608 is a gapful number since it is divisible by the number (48) 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 4231648608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066156096).

4231648608 is an abundant number, since it is smaller than the sum of its proper divisors (7900663584).

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

4231648608 is a wasteful number, since it uses less digits than its factorization.

4231648608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4231648608 is about 65051.1230341183. The cubic root of 4231648608 is about 1617.4711099793.

The spelling of 4231648608 in words is "four billion, two hundred thirty-one million, six hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1091 2182 3273 3673 4364 6546 7346 8728 11019 12001 13092 14692 17456 22038 24002 26184 29384 34912 36003 40403 44076 48004 52368 58768 72006 80806 88152 96008 104736 117536 121209 144012 161612 176304 192016 242418 288024 323224 352608 384032 484836 576048 646448 969672 1152096 1292896 1939344 3878688 4007243 8014486 12021729 16028972 24043458 32057944 44079673 48086916 64115888 88159346 96173832 128231776 132239019 176318692 192347664 264478038 352637384 384695328 528956076 705274768 1057912152 1410549536 2115824304 4231648608