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3826789890 = 2357116772447
BaseRepresentation
bin1110010000011000…
…0010111000000010
3100212200210001211220
43210012002320002
530314124234030
61431421215510
7163555114560
oct34406027002
910780701756
103826789890
111694139980
128a9701596
1348ca87221
14284346a30
15175e5da10
hexe4182e02

3826789890 has 128 divisors (see below), whose sum is σ = 11472150528. Its totient is φ = 793678080.

The previous prime is 3826789853. The next prime is 3826789891. The reversal of 3826789890 is 989876283.

It is not an unprimeable number, because it can be changed into a prime (3826789891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1562647 + ... + 1565093.

It is an arithmetic number, because the mean of its divisors is an integer number (89626176).

Almost surely, 23826789890 is an apocalyptic number.

3826789890 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 3826789890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736075264).

3826789890 is an abundant number, since it is smaller than the sum of its proper divisors (7645360638).

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

3826789890 is a wasteful number, since it uses less digits than its factorization.

3826789890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152.

The product of its (nonzero) digits is 10450944, while the sum is 60.

The square root of 3826789890 is about 61861.0530948189. The cubic root of 3826789890 is about 1564.1493047701.

The spelling of 3826789890 in words is "three billion, eight hundred twenty-six million, seven hundred eighty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 677 770 1155 1354 2031 2310 2447 3385 4062 4739 4894 6770 7341 7447 9478 10155 12235 14217 14682 14894 17129 20310 22341 23695 24470 26917 28434 34258 36705 37235 44682 47390 51387 52129 53834 71085 73410 74470 80751 85645 102774 104258 111705 134585 142170 156387 161502 171290 188419 223410 256935 260645 269170 312774 376838 403755 513870 521290 565257 781935 807510 942095 1130514 1563870 1656619 1884190 2826285 3313238 4969857 5652570 8283095 9939714 11596333 16566190 18222809 23192666 24849285 34788999 36445618 49698570 54668427 57981665 69577998 91114045 109336854 115963330 127559663 173944995 182228090 255119326 273342135 347889990 382678989 546684270 637798315 765357978 1275596630 1913394945 3826789890