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4132002112 = 267531011723
BaseRepresentation
bin1111011001001001…
…0101100101000000
3101122222002110022021
43312102111211000
531430243031422
61522003051224
7204252303250
oct36622254500
911588073267
104132002112
111830453387
12973970b14
1350b08b584
142b2ab5960
15192b4bdc7
hexf6495940

4132002112 has 112 divisors (see below), whose sum is σ = 9647724672. Its totient is φ = 1719244800.

The previous prime is 4132002107. The next prime is 4132002113. The reversal of 4132002112 is 2112002314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132002113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2397283 + ... + 2399005.

Almost surely, 24132002112 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 4132002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823862336).

4132002112 is an abundant number, since it is smaller than the sum of its proper divisors (5515722560).

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

4132002112 is a wasteful number, since it uses less digits than its factorization.

4132002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4132002112 is about 64280.6511479154. The cubic root of 4132002112 is about 1604.6741071550.

Adding to 4132002112 its reverse (2112002314), we get a palindrome (6244004426).

The spelling of 4132002112 in words is "four billion, one hundred thirty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 101 106 112 202 212 224 371 404 424 448 707 742 808 848 1414 1484 1616 1696 1723 2828 2968 3232 3392 3446 5353 5656 5936 6464 6892 10706 11312 11872 12061 13784 21412 22624 23744 24122 27568 37471 42824 45248 48244 55136 74942 85648 91319 96488 110272 149884 171296 174023 182638 192976 299768 342592 348046 365276 385952 599536 639233 696092 730552 771904 1199072 1218161 1278466 1392184 1461104 2398144 2436322 2556932 2784368 2922208 4872644 5113864 5568736 5844416 9223219 9745288 10227728 11137472 18446438 19490576 20455456 36892876 38981152 40910912 64562533 73785752 77962304 129125066 147571504 258250132 295143008 516500264 590286016 1033000528 2066001056 4132002112