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4484593344 = 263711303341
BaseRepresentation
bin1000010110100110…
…10111011011000000
3102120112112221112210
410023103113123000
533141023441334
62021000222120
7216063262110
oct41323273300
912515487483
104484593344
1119a14883a0
12a51a6a940
1356614103a
14307859040
151b3a985e9
hex10b4d76c0

4484593344 has 112 divisors (see below), whose sum is σ = 14793382656. Its totient is φ = 1164825600.

The previous prime is 4484593307. The next prime is 4484593349. The reversal of 4484593344 is 4433954844.

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

It is a super-2 number, since 2×44845933442 = 40223154922098204672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4484593293 and 4484593302.

It is not an unprimeable number, because it can be changed into a prime (4484593349) 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, 136887 + ... + 166454.

Almost surely, 24484593344 is an apocalyptic number.

4484593344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4484593344 is an abundant number, since it is smaller than the sum of its proper divisors (10308789312).

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

4484593344 is a wasteful number, since it uses less digits than its factorization.

4484593344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303374 (or 303364 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The square root of 4484593344 is about 66967.1064329347. The cubic root of 4484593344 is about 1649.0773346550.

The spelling of 4484593344 in words is "four billion, four hundred eighty-four million, five hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 303341 606682 910023 1213364 1820046 2123387 2426728 3336751 3640092 4246774 4853456 6370161 6673502 7280184 8493548 9706912 10010253 12740322 13347004 14560368 16987096 19413824 20020506 23357257 25480644 26694008 29120736 33974192 40041012 46714514 50961288 53388016 58241472 67948384 70071771 80082024 93429028 101922576 106776032 135896768 140143542 160164048 186858056 203845152 213552064 280287084 320328096 373716112 407690304 560574168 640656192 747432224 1121148336 1494864448 2242296672 4484593344