Search a number
-
+
3725734950 = 2325275920047
BaseRepresentation
bin1101111000010010…
…0011010000100110
3100121122121221112100
43132010203100212
530112242004300
61413411232530
7161220140010
oct33604432046
910548557470
103725734950
1116420978a3
1287b8a8746
13474b644c2
14274b5d1b0
1516c14b700
hexde123426

3725734950 has 144 divisors (see below), whose sum is σ = 11634255360. Its totient is φ = 837120960.

The previous prime is 3725734931. The next prime is 3725734997. The reversal of 3725734950 is 594375273.

3725734950 is a `hidden beast` number, since 3 + 7 + 257 + 349 + 50 = 666.

It is a super-2 number, since 2×37257349502 = 27762201835303005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3725734896 and 3725734905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175827 + ... + 195873.

It is an arithmetic number, because the mean of its divisors is an integer number (80793440).

Almost surely, 23725734950 is an apocalyptic number.

3725734950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725734950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817127680).

3725734950 is an abundant number, since it is smaller than the sum of its proper divisors (7908520410).

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

3725734950 is a wasteful number, since it uses less digits than its factorization.

3725734950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20131 (or 20123 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 3725734950 is about 61038.7987267115. The cubic root of 3725734950 is about 1550.2580146271.

The spelling of 3725734950 in words is "three billion, seven hundred twenty-five million, seven hundred thirty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 59 63 70 75 90 105 118 126 150 175 177 210 225 295 315 350 354 413 450 525 531 590 630 826 885 1050 1062 1239 1475 1575 1770 2065 2478 2655 2950 3150 3717 4130 4425 5310 6195 7434 8850 10325 12390 13275 18585 20047 20650 26550 30975 37170 40094 60141 61950 92925 100235 120282 140329 180423 185850 200470 280658 300705 360846 420987 501175 601410 701645 841974 902115 1002350 1182773 1262961 1403290 1503525 1804230 2104935 2365546 2525922 3007050 3508225 3548319 4209870 4510575 5913865 6314805 7016450 7096638 8279411 9021150 10524675 10644957 11827730 12629610 16558822 17741595 21049350 21289914 24838233 29569325 31574025 35483190 41397055 49676466 53224785 59138650 63148050 74514699 82794110 88707975 106449570 124191165 149029398 177415950 206985275 248382330 266123925 372573495 413970550 532247850 620955825 745146990 1241911650 1862867475 3725734950