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4287874136 = 2371341971481
BaseRepresentation
bin1111111110010011…
…1100010001011000
3102001211101120112012
43333210330101120
532240143433021
61545252005052
7211154220530
oct37744742130
912054346465
104287874136
111900436337
129b8000788
13534465140
142c968c4c0
151a168b35b
hexff93c458

4287874136 has 128 divisors (see below), whose sum is σ = 10247852160. Its totient is φ = 1636761600.

The previous prime is 4287874133. The next prime is 4287874163. The reversal of 4287874136 is 6314787824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287874133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2894516 + ... + 2895996.

It is an arithmetic number, because the mean of its divisors is an integer number (80061345).

Almost surely, 24287874136 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 4287874136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123926080).

4287874136 is an abundant number, since it is smaller than the sum of its proper divisors (5959978024).

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

4287874136 is a wasteful number, since it uses less digits than its factorization.

4287874136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1641 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The square root of 4287874136 is about 65481.8611219932. The cubic root of 4287874136 is about 1624.6033444167.

The spelling of 4287874136 in words is "four billion, two hundred eighty-seven million, eight hundred seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 97 104 164 182 194 287 328 364 388 533 574 679 728 776 1066 1148 1261 1358 1481 2132 2296 2522 2716 2962 3731 3977 4264 5044 5432 5924 7462 7954 8827 10088 10367 11848 14924 15908 17654 19253 20734 27839 29848 31816 35308 38506 41468 51701 55678 60721 70616 77012 82936 103402 111356 121442 134771 143657 154024 206804 222712 242884 269542 287314 361907 413608 425047 485768 539084 574628 723814 789373 850094 1005599 1078168 1149256 1447628 1578746 1700188 1867541 2011198 2895256 3157492 3400376 3735082 4022396 5525611 5889937 6314984 7470164 8044792 11051222 11779874 13072787 14940328 22102444 23559748 26145574 41229559 44204888 47119496 52291148 76569181 82459118 104582296 153138362 164918236 306276724 329836472 535984267 612553448 1071968534 2143937068 4287874136