Search a number
-
+
3625435000 = 235411292273
BaseRepresentation
bin1101100000010111…
…1011111101111000
3100100122220011212101
43120011323331320
524411102410000
61355425353144
7155561455225
oct33005737570
910318804771
103625435000
1115a0510a80
128521987b4
1345a147315
142656d094c
15163437e6a
hexd817bf78

3625435000 has 160 divisors (see below), whose sum is σ = 9590367600. Its totient is φ = 1272320000.

The previous prime is 3625434997. The next prime is 3625435013. The reversal of 3625435000 is 5345263.

It is a self number, because there is not a number n which added to its sum of digits gives 3625435000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1593864 + ... + 1596136.

Almost surely, 23625435000 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 3625435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795183800).

3625435000 is an abundant number, since it is smaller than the sum of its proper divisors (5964932600).

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

3625435000 is a wasteful number, since it uses less digits than its factorization.

3625435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 3625435000 is about 60211.5852639673. The cubic root of 3625435000 is about 1536.2198567217.

The spelling of 3625435000 in words is "three billion, six hundred twenty-five million, four hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 625 638 725 1000 1100 1160 1250 1276 1375 1450 1595 2200 2273 2500 2552 2750 2900 3190 3625 4546 5000 5500 5800 6380 6875 7250 7975 9092 11000 11365 12760 13750 14500 15950 18125 18184 22730 25003 27500 29000 31900 36250 39875 45460 50006 55000 56825 63800 65917 72500 79750 90920 100012 113650 125015 131834 145000 159500 199375 200024 227300 250030 263668 284125 319000 329585 398750 454600 500060 527336 568250 625075 659170 725087 797500 1000120 1136500 1250150 1318340 1420625 1450174 1595000 1647925 2273000 2500300 2636680 2841250 2900348 3125375 3295850 3625435 5000600 5682500 5800696 6250750 6591700 7250870 8239625 11365000 12501500 13183400 14501740 15626875 16479250 18127175 25003000 29003480 31253750 32958500 36254350 41198125 62507500 65917000 72508700 82396250 90635875 125015000 145017400 164792500 181271750 329585000 362543500 453179375 725087000 906358750 1812717500 3625435000