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4032045420 = 22351321124499
BaseRepresentation
bin1111000001010100…
…0010000101101100
3101102000000010111120
43300111002011230
531224200423140
61504032420540
7201626551314
oct36025020554
911360003446
104032045420
111789a91447
129463a7750
134c34616c0
142a36d6444
15188ea51d0
hexf054216c

4032045420 has 96 divisors (see below), whose sum is σ = 12216288000. Its totient is φ = 987759360.

The previous prime is 4032045401. The next prime is 4032045443. The reversal of 4032045420 is 245402304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152331 + ... + 176829.

It is an arithmetic number, because the mean of its divisors is an integer number (127253000).

Almost surely, 24032045420 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 4032045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108144000).

4032045420 is an abundant number, since it is smaller than the sum of its proper divisors (8184242580).

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

4032045420 is a wasteful number, since it uses less digits than its factorization.

4032045420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24735 (or 24733 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4032045420 is about 63498.3891134255. The cubic root of 4032045420 is about 1591.6288596169.

Adding to 4032045420 its reverse (245402304), we get a palindrome (4277447724).

The spelling of 4032045420 in words is "four billion, thirty-two million, forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 211 260 390 422 633 780 844 1055 1266 2110 2532 2743 3165 4220 5486 6330 8229 10972 12660 13715 16458 24499 27430 32916 41145 48998 54860 73497 82290 97996 122495 146994 164580 244990 293988 318487 367485 489980 636974 734970 955461 1273948 1469940 1592435 1910922 3184870 3821844 4777305 5169289 6369740 9554610 10338578 15507867 19109220 20677156 25846445 31015734 51692890 62031468 67200757 77539335 103385780 134401514 155078670 201602271 268803028 310157340 336003785 403204542 672007570 806409084 1008011355 1344015140 2016022710 4032045420