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4283864352 = 2532113139947
BaseRepresentation
bin1111111101010110…
…1001010100100000
3102001112211212010200
43333111221110200
532233132124402
61545030025200
7211105150305
oct37725512440
912045755120
104283864352
1118a9147769
129b67a8200
1353368cca1
142c8d270ac
151a114821c
hexff569520

4283864352 has 144 divisors (see below), whose sum is σ = 12391535520. Its totient is φ = 1403652096.

The previous prime is 4283864341. The next prime is 4283864353. The reversal of 4283864352 is 2534683824.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4283864298 and 4283864307.

It is not an unprimeable number, because it can be changed into a prime (4283864353) 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 23 ways as a sum of consecutive naturals, for example, 4523143 + ... + 4524089.

It is an arithmetic number, because the mean of its divisors is an integer number (86052330).

Almost surely, 24283864352 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 4283864352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195767760).

4283864352 is an abundant number, since it is smaller than the sum of its proper divisors (8107671168).

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

4283864352 is a wasteful number, since it uses less digits than its factorization.

4283864352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4283864352 is about 65451.2364436303. The cubic root of 4283864352 is about 1624.0967732540.

The spelling of 4283864352 in words is "four billion, two hundred eighty-three million, eight hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 139 144 226 278 288 339 417 452 556 678 834 904 947 1017 1112 1251 1356 1668 1808 1894 2034 2224 2502 2712 2841 3336 3616 3788 4068 4448 5004 5424 5682 6672 7576 8136 8523 10008 10848 11364 13344 15152 15707 16272 17046 20016 22728 30304 31414 32544 34092 40032 45456 47121 62828 68184 90912 94242 107011 125656 131633 136368 141363 188484 214022 251312 263266 272736 282726 321033 376968 394899 428044 502624 526532 565452 642066 753936 789798 856088 963099 1053064 1130904 1184697 1284132 1507872 1579596 1712176 1926198 2106128 2261808 2369394 2568264 3159192 3424352 3852396 4212256 4523616 4738788 5136528 6318384 7704792 9477576 10273056 12636768 14874529 15409584 18955152 29749058 30819168 37910304 44623587 59498116 89247174 118996232 133870761 178494348 237992464 267741522 356988696 475984928 535483044 713977392 1070966088 1427954784 2141932176 4283864352