Search a number
-
+
4434649240 = 2357171078707
BaseRepresentation
bin1000010000101001…
…10110000010011000
3102110001120112010011
410020110312002120
533040232233430
62012013531304
7214615616350
oct41024660230
912401515104
104434649240
11197627567a
12a391a3b34
135589a5208
14300d77b60
151ae4d022a
hex108536098

4434649240 has 128 divisors (see below), whose sum is σ = 12188413440. Its totient is φ = 1417476096.

The previous prime is 4434649207. The next prime is 4434649249. The reversal of 4434649240 is 429464344.

It is a super-2 number, since 2×44346492402 = 39332227763665155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4434649193 and 4434649202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434649249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504967 + ... + 513673.

It is an arithmetic number, because the mean of its divisors is an integer number (95221980).

Almost surely, 24434649240 is an apocalyptic number.

4434649240 is a gapful number since it is divisible by the number (40) 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 4434649240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094206720).

4434649240 is an abundant number, since it is smaller than the sum of its proper divisors (7753764200).

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

4434649240 is a wasteful number, since it uses less digits than its factorization.

4434649240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The square root of 4434649240 is about 66593.1621114360. The cubic root of 4434649240 is about 1642.9326418881.

The spelling of 4434649240 in words is "four billion, four hundred thirty-four million, six hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 107 119 136 140 170 214 238 280 340 428 476 535 595 680 749 856 952 1070 1190 1498 1819 2140 2380 2996 3638 3745 4280 4760 5992 7276 7490 8707 9095 12733 14552 14980 17414 18190 25466 29960 34828 36380 43535 50932 60949 63665 69656 72760 87070 101864 121898 127330 148019 174140 243796 254660 296038 304745 348280 487592 509320 592076 609490 740095 931649 1036133 1184152 1218980 1480190 1863298 2072266 2437960 2960380 3726596 4144532 4658245 5180665 5920760 6521543 7453192 8289064 9316490 10361330 13043086 15838033 18632980 20722660 26086172 31676066 32607715 37265960 41445320 52172344 63352132 65215430 79190165 110866231 126704264 130430860 158380330 221732462 260861720 316760660 443464924 554331155 633521320 886929848 1108662310 2217324620 4434649240