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4032112304 = 24111011092081
BaseRepresentation
bin1111000001010101…
…0010011010110000
3101102000010112020202
43300111102122300
531224210043204
61504034054332
7201630250313
oct36025223260
911360115222
104032112304
11178a027720
1294641a3a8
134c3485c8c
142a371297a
15188eb9e1e
hexf05526b0

4032112304 has 80 divisors (see below), whose sum is σ = 8689934880. Its totient is φ = 1797120000.

The previous prime is 4032112297. The next prime is 4032112367.

4032112304 is nontrivially palindromic in base 10.

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, 1936544 + ... + 1938624.

It is an arithmetic number, because the mean of its divisors is an integer number (108624186).

Almost surely, 24032112304 is an apocalyptic number.

4032112304 is a gapful number since it is divisible by the number (44) 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 4032112304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344967440).

4032112304 is an abundant number, since it is smaller than the sum of its proper divisors (4657822576).

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

4032112304 is a wasteful number, since it uses less digits than its factorization.

4032112304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4032112304 is about 63498.9157702712. The cubic root of 4032112304 is about 1591.6376602714.

It can be divided in two parts, 40321 and 12304, that added together give a palindrome (52625).

The spelling of 4032112304 in words is "four billion, thirty-two million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 101 109 176 202 218 404 436 808 872 1111 1199 1616 1744 2081 2222 2398 4162 4444 4796 8324 8888 9592 11009 16648 17776 19184 22018 22891 33296 44036 45782 88072 91564 121099 176144 183128 210181 226829 242198 366256 420362 453658 484396 840724 907316 968792 1681448 1814632 1937584 2311991 2495119 3362896 3629264 4623982 4990238 9247964 9980476 18495928 19960952 22909729 36991856 39921904 45819458 91638916 183277832 252007019 366555664 504014038 1008028076 2016056152 4032112304