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4631135250 = 235376114461
BaseRepresentation
bin1000101000000100…
…11000010000010010
3102221202022001020210
410110002120100102
533441032312000
62043313144550
7222523000020
oct42402302022
912852261223
104631135250
111a67178505
12a92b5b156
1358a5cbc21
1431d0c3710
151c1893350
hex114098412

4631135250 has 128 divisors (see below), whose sum is σ = 13428140544. Its totient is φ = 1041120000.

The previous prime is 4631135233. The next prime is 4631135269. The reversal of 4631135250 is 525311364.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313020 + ... + 327480.

It is an arithmetic number, because the mean of its divisors is an integer number (104907348).

Almost surely, 24631135250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4631135250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714070272).

4631135250 is an abundant number, since it is smaller than the sum of its proper divisors (8797005294).

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

4631135250 is a wasteful number, since it uses less digits than its factorization.

4631135250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14549 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 4631135250 is about 68052.4448495423. Note that the first 3 decimals coincide. The cubic root of 4631135250 is about 1666.8473215287.

The spelling of 4631135250 in words is "four billion, six hundred thirty-one million, one hundred thirty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 61 70 75 105 122 125 150 175 183 210 250 305 350 366 375 427 525 610 750 854 875 915 1050 1281 1525 1750 1830 2135 2562 2625 3050 4270 4575 5250 6405 7625 9150 10675 12810 14461 15250 21350 22875 28922 32025 43383 45750 53375 64050 72305 86766 101227 106750 144610 160125 202454 216915 303681 320250 361525 433830 506135 607362 723050 882121 1012270 1084575 1518405 1764242 1807625 2169150 2530675 2646363 3036810 3615250 4410605 5061350 5292726 5422875 6174847 7592025 8821210 10845750 12349694 12653375 13231815 15184050 18524541 22053025 25306750 26463630 30874235 37049082 37960125 44106050 61748470 66159075 75920250 92622705 110265125 132318150 154371175 185245410 220530250 308742350 330795375 463113525 661590750 771855875 926227050 1543711750 2315567625 4631135250