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3781883250 = 233531932903
BaseRepresentation
bin1110000101101010…
…1111010101110010
3100202120021120112000
43201122233111302
530221130231000
61423134514430
7162501322455
oct34132572562
910676246460
103781883250
111670857952
12896665a16
13483693252
1427c3b749c
1517203d000
hexe16af572

3781883250 has 128 divisors (see below), whose sum is σ = 10546398720. Its totient is φ = 1002931200.

The previous prime is 3781883249. The next prime is 3781883263. The reversal of 3781883250 is 523881873.

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 = 3781883196 and 3781883205.

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, 1301299 + ... + 1304201.

It is an arithmetic number, because the mean of its divisors is an integer number (82393740).

Almost surely, 23781883250 is an apocalyptic number.

3781883250 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 3781883250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273199360).

3781883250 is an abundant number, since it is smaller than the sum of its proper divisors (6764515470).

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

3781883250 is a wasteful number, since it uses less digits than its factorization.

3781883250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3781883250 is about 61497.0182203983. The cubic root of 3781883250 is about 1558.0068850790.

The spelling of 3781883250 in words is "three billion, seven hundred eighty-one million, eight hundred eighty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 193 225 250 270 375 386 450 579 675 750 965 1125 1158 1350 1737 1930 2250 2895 2903 3375 3474 4825 5211 5790 5806 6750 8685 8709 9650 10422 14475 14515 17370 17418 24125 26055 26127 28950 29030 43425 43545 48250 52110 52254 72375 72575 78381 86850 87090 130275 130635 144750 145150 156762 217125 217725 260550 261270 362875 391905 434250 435450 560279 651375 653175 725750 783810 1088625 1120558 1302750 1306350 1680837 1959525 2177250 2801395 3265875 3361674 3919050 5042511 5602790 6531750 8404185 9797625 10085022 14006975 15127533 16808370 19595250 25212555 28013950 30255066 42020925 50425110 70034875 75637665 84041850 126062775 140069750 151275330 210104625 252125550 378188325 420209250 630313875 756376650 1260627750 1890941625 3781883250