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4124403888 = 2431125131121
BaseRepresentation
bin1111010111010101…
…0110100010110000
3101122102210102111120
43311311112202300
531421321411023
61521132142240
7204130566063
oct36565264260
911572712446
104124403888
111827133760
12971307980
1350962ac97
142b1a988da
1519214a8e3
hexf5d568b0

4124403888 has 80 divisors (see below), whose sum is σ = 11670003072. Its totient is φ = 1244800000.

The previous prime is 4124403851. The next prime is 4124403893. The reversal of 4124403888 is 8883044214.

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 15 ways as a sum of consecutive naturals, for example, 116968 + ... + 148088.

Almost surely, 24124403888 is an apocalyptic number.

4124403888 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 4124403888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835001536).

4124403888 is an abundant number, since it is smaller than the sum of its proper divisors (7545599184).

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

4124403888 is a wasteful number, since it uses less digits than its factorization.

4124403888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31394 (or 31388 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 4124403888 is about 64221.5220000274. The cubic root of 4124403888 is about 1603.6899067427.

It can be divided in two parts, 412440 and 3888, that added together give a triangular number (416328 = T912).

The spelling of 4124403888 in words is "four billion, one hundred twenty-four million, four hundred three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 251 264 502 528 753 1004 1506 2008 2761 3012 4016 5522 6024 8283 11044 12048 16566 22088 31121 33132 44176 62242 66264 93363 124484 132528 186726 248968 342331 373452 497936 684662 746904 1026993 1369324 1493808 2053986 2738648 4107972 5477296 7811371 8215944 15622742 16431888 23434113 31245484 46868226 62490968 85925081 93736452 124981936 171850162 187472904 257775243 343700324 374945808 515550486 687400648 1031100972 1374801296 2062201944 4124403888