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4282680688 = 2411135335317
BaseRepresentation
bin1111111101000100…
…1000010101110000
3102001110121201110021
43333101020111300
532232331240223
61544544413224
7211062120346
oct37721102560
912043551407
104282680688
1118a8509430
129b6317214
135333672b0
142c8ad9996
151a0eb265d
hexff448570

4282680688 has 80 divisors (see below), whose sum is σ = 9932551776. Its totient is φ = 1762974720.

The previous prime is 4282680683. The next prime is 4282680709. The reversal of 4282680688 is 8860862824.

4282680688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282680683) 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, 103606 + ... + 138922.

Almost surely, 24282680688 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 4282680688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966275888).

4282680688 is an abundant number, since it is smaller than the sum of its proper divisors (5649871088).

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

4282680688 is a wasteful number, since it uses less digits than its factorization.

4282680688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35402 (or 35396 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 52.

The square root of 4282680688 is about 65442.1934840207. The cubic root of 4282680688 is about 1623.9471760828.

The spelling of 4282680688 in words is "four billion, two hundred eighty-two million, six hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 53 88 104 106 143 176 208 212 286 424 572 583 689 848 1144 1166 1378 2288 2332 2756 4664 5512 7579 9328 11024 15158 30316 35317 60632 70634 121264 141268 282536 388487 459121 565072 776974 918242 1553948 1836484 1871801 3107896 3672968 3743602 5050331 6215792 7345936 7487204 10100662 14974408 20201324 20589811 24333413 29948816 40402648 41179622 48666826 80805296 82359244 97333652 164718488 194667304 267667543 329436976 389334608 535335086 1070670172 2141340344 4282680688