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4903973424 = 2432728317191
BaseRepresentation
bin1001001000100110…
…01011001000110000
3110122202200122212100
410210103023020300
540020404122144
62130341100400
7232345041420
oct44423131060
913582618770
104903973424
11209718a8a9
12b4a3b7700
13601ca982c
14347426480
151da7d9269
hex1244cb230

4903973424 has 120 divisors (see below), whose sum is σ = 15741270272. Its totient is φ = 1396103040.

The previous prime is 4903973413. The next prime is 4903973429. The reversal of 4903973424 is 4243793094.

It is a self number, because there is not a number n which added to its sum of digits gives 4903973424.

It is not an unprimeable number, because it can be changed into a prime (4903973429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276669 + ... + 293859.

Almost surely, 24903973424 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 4903973424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870635136).

4903973424 is an abundant number, since it is smaller than the sum of its proper divisors (10837296848).

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

4903973424 is a wasteful number, since it uses less digits than its factorization.

4903973424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17495 (or 17486 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4903973424 is about 70028.3758486515. The cubic root of 4903973424 is about 1698.9582341664.

The spelling of 4903973424 in words is "four billion, nine hundred three million, nine hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 283 336 504 566 849 1008 1132 1698 1981 2264 2547 3396 3962 4528 5094 5943 6792 7924 10188 11886 13584 15848 17191 17829 20376 23772 31696 34382 35658 40752 47544 51573 68764 71316 95088 103146 120337 137528 142632 154719 206292 240674 275056 285264 309438 361011 412584 481348 618876 722022 825168 962696 1083033 1237752 1444044 1925392 2166066 2475504 2888088 4332132 4865053 5776176 8664264 9730106 14595159 17328528 19460212 29190318 34055371 38920424 43785477 58380636 68110742 77840848 87570954 102166113 116761272 136221484 175141908 204332226 233522544 272442968 306498339 350283816 408664452 544885936 612996678 700567632 817328904 1225993356 1634657808 2451986712 4903973424