Search a number
-
+
4379852464 = 2413235691609
BaseRepresentation
bin1000001010000111…
…10011111010110000
3102022020110120001221
410011003303322300
532432220234324
62002335234424
7213352063111
oct40503637260
912266416057
104379852464
111948348a89
12a22978a14
1354a52a6a0
142d7992208
151a97a90e4
hex1050f3eb0

4379852464 has 80 divisors (see below), whose sum is σ = 9558763200. Its totient is φ = 1928982528.

The previous prime is 4379852461. The next prime is 4379852479. The reversal of 4379852464 is 4642589734.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (4379852461) 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, 2721292 + ... + 2722900.

It is an arithmetic number, because the mean of its divisors is an integer number (119484540).

Almost surely, 24379852464 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 4379852464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779381600).

4379852464 is an abundant number, since it is smaller than the sum of its proper divisors (5178910736).

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

4379852464 is a wasteful number, since it uses less digits than its factorization.

4379852464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2216 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The square root of 4379852464 is about 66180.4537911308. The cubic root of 4379852464 is about 1636.1376071626.

The spelling of 4379852464 in words is "four billion, three hundred seventy-nine million, eight hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 569 598 1138 1196 1609 2276 2392 3218 4552 4784 6436 7397 9104 12872 13087 14794 20917 25744 26174 29588 37007 41834 52348 59176 74014 83668 104696 118352 148028 167336 170131 209392 296056 334672 340262 481091 592112 680524 915521 962182 1361048 1831042 1924364 2722096 3662084 3848728 7324168 7697456 11901773 14648336 21056983 23803546 42113966 47607092 84227932 95214184 168455864 190428368 273740779 336911728 547481558 1094963116 2189926232 4379852464