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4250453376 = 273132413533
BaseRepresentation
bin1111110101011000…
…1100010110000000
3101222012222101220010
43331112030112000
532201104002001
61541433544520
7210221154231
oct37526142600
911865871803
104250453376
1118912a7594
129a7575140
13529792590
142c470b088
1519d2488d6
hexfd58c580

4250453376 has 128 divisors (see below), whose sum is σ = 12212655840. Its totient is φ = 1302036480.

The previous prime is 4250453371. The next prime is 4250453443. The reversal of 4250453376 is 6733540524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4250453371) 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, 1201306 + ... + 1204838.

Almost surely, 24250453376 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 4250453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106327920).

4250453376 is an abundant number, since it is smaller than the sum of its proper divisors (7962202464).

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

4250453376 is a wasteful number, since it uses less digits than its factorization.

4250453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The square root of 4250453376 is about 65195.5011944843. The cubic root of 4250453376 is about 1619.8634971099.

The spelling of 4250453376 in words is "four billion, two hundred fifty million, four hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 241 312 384 416 482 624 723 832 964 1248 1446 1664 1928 2496 2892 3133 3533 3856 4992 5784 6266 7066 7712 9399 10599 11568 12532 14132 15424 18798 21198 23136 25064 28264 30848 37596 42396 45929 46272 50128 56528 75192 84792 91858 92544 100256 113056 137787 150384 169584 183716 200512 226112 275574 300768 339168 367432 401024 452224 551148 601536 678336 734864 851453 1102296 1203072 1356672 1469728 1702906 2204592 2554359 2939456 3405812 4409184 5108718 5878912 6811624 8818368 10217436 11068889 13623248 17636736 20434872 22137778 27246496 33206667 40869744 44275556 54492992 66413334 81739488 88551112 108985984 132826668 163478976 177102224 265653336 326957952 354204448 531306672 708408896 1062613344 1416817792 2125226688 4250453376