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4287469424 = 247237612423
BaseRepresentation
bin1111111110001101…
…1001011101110000
3102001210122000100212
43333203121131300
532240043010144
61545235203252
7211150613600
oct37743313560
912053560325
104287469424
11190018a267
129b7a46528
13534352b74
142c95c4c00
151a160b49e
hexff8d9770

4287469424 has 120 divisors (see below), whose sum is σ = 10091238048. Its totient is φ = 1757790720.

The previous prime is 4287469423. The next prime is 4287469457. The reversal of 4287469424 is 4249647824.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287469421) 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, 1768277 + ... + 1770699.

Almost surely, 24287469424 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 4287469424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045619024).

4287469424 is an abundant number, since it is smaller than the sum of its proper divisors (5803768624).

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

4287469424 is a wasteful number, since it uses less digits than its factorization.

4287469424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2530 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 50.

The square root of 4287469424 is about 65478.7707887068. The cubic root of 4287469424 is about 1624.5522299534.

The spelling of 4287469424 in words is "four billion, two hundred eighty-seven million, four hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 61 74 98 112 122 148 196 244 259 296 392 427 488 518 592 784 854 976 1036 1708 1813 2072 2257 2423 2989 3416 3626 4144 4514 4846 5978 6832 7252 9028 9692 11956 14504 15799 16961 18056 19384 23912 29008 31598 33922 36112 38768 47824 63196 67844 89651 110593 118727 126392 135688 147803 179302 221186 237454 252784 271376 295606 358604 442372 474908 591212 627557 717208 884744 949816 1034621 1182424 1255114 1434416 1769488 1899632 2069242 2364848 2510228 4138484 4392899 5020456 5468711 7242347 8276968 8785798 10040912 10937422 14484694 16553936 17571596 21874844 28969388 35143192 38280977 43749688 57938776 70286384 76561954 87499376 115877552 153123908 267966839 306247816 535933678 612495632 1071867356 2143734712 4287469424