Search a number
-
+
4629307728 = 243791976197
BaseRepresentation
bin1000100111110110…
…11010000101010000
3102221121212012100210
410103323122011100
533440100321403
62043210044120
7222501315663
oct42373320520
912847765323
104629307728
111a6613a461
12a92419640
1358a10c156
1431cb696da
151c1631b03
hex113eda150

4629307728 has 80 divisors (see below), whose sum is σ = 12173863680. Its totient is φ = 1515591168.

The previous prime is 4629307703. The next prime is 4629307733. The reversal of 4629307728 is 8277039264.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743926 + ... + 750122.

It is an arithmetic number, because the mean of its divisors is an integer number (152173296).

Almost surely, 24629307728 is an apocalyptic number.

4629307728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4629307728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086931840).

4629307728 is an abundant number, since it is smaller than the sum of its proper divisors (7544555952).

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

4629307728 is a wasteful number, since it uses less digits than its factorization.

4629307728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 4629307728 is about 68039.0162186374. The cubic root of 4629307728 is about 1666.6280375758.

The spelling of 4629307728 in words is "four billion, six hundred twenty-nine million, three hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 197 237 316 394 474 591 632 788 948 1182 1264 1576 1896 2364 3152 3792 4728 6197 9456 12394 15563 18591 24788 31126 37182 46689 49576 62252 74364 93378 99152 124504 148728 186756 249008 297456 373512 489563 747024 979126 1220809 1468689 1958252 2441618 2937378 3662427 3916504 4883236 5874756 7324854 7833008 9766472 11749512 14649708 19532944 23499024 29299416 58598832 96443911 192887822 289331733 385775644 578663466 771551288 1157326932 1543102576 2314653864 4629307728