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3879223650 = 234527313121
BaseRepresentation
bin1110011100111000…
…0100000101100010
3101000100102222110000
43213032010011202
530421040124100
61440533120430
7165062566641
oct34716040542
911010388400
103879223650
1117107a2165
12903189116
1349a8b5313
1428b2b5358
1517a869900
hexe7384162

3879223650 has 120 divisors (see below), whose sum is σ = 10926978084. Its totient is φ = 1020211200.

The previous prime is 3879223643. The next prime is 3879223697. The reversal of 3879223650 is 563229783.

It can be written as a sum of positive squares in 6 ways, for example, as 818589321 + 3060634329 = 28611^2 + 55323^2 .

It is a super-2 number, since 2×38792236502 = 30096752253438645000, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3879223596 and 3879223605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 289090 + ... + 302210.

Almost surely, 23879223650 is an apocalyptic number.

3879223650 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 3879223650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463489042).

3879223650 is an abundant number, since it is smaller than the sum of its proper divisors (7047754434).

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

3879223650 is a wasteful number, since it uses less digits than its factorization.

3879223650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13218 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3879223650 is about 62283.4139237727. The cubic root of 3879223650 is about 1571.2607896229.

It can be divided in two parts, 3879 and 223650, that added together give a square (227529 = 4772).

The spelling of 3879223650 in words is "three billion, eight hundred seventy-nine million, two hundred twenty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 73 75 81 90 135 146 150 162 219 225 270 365 405 438 450 657 675 730 810 1095 1314 1350 1825 1971 2025 2190 3285 3650 3942 4050 5475 5913 6570 9855 10950 11826 13121 16425 19710 26242 29565 32850 39363 49275 59130 65605 78726 98550 118089 131210 147825 196815 236178 295650 328025 354267 393630 590445 656050 708534 957833 984075 1062801 1180890 1771335 1915666 1968150 2125602 2873499 2952225 3542670 4789165 5314005 5746998 5904450 8620497 8856675 9578330 10628010 14367495 17240994 17713350 23945825 25861491 26570025 28734990 43102485 47891650 51722982 53140050 71837475 77584473 86204970 129307455 143674950 155168946 215512425 258614910 387922365 431024850 646537275 775844730 1293074550 1939611825 3879223650