Search a number
-
+
2028857490 = 2335115312889
BaseRepresentation
bin111100011101101…
…1110100010010010
312020101122122021000
41320323132202102
513123341414430
6533153242430
7101164001262
oct17073364222
95211578230
102028857490
11951267730
12487563416
1326443c2ba
1415364b7a2
15bd1b2e60
hex78ede892

2028857490 has 128 divisors (see below), whose sum is σ = 6013958400. Its totient is φ = 482526720.

The previous prime is 2028857477. The next prime is 2028857491. The reversal of 2028857490 is 947588202.

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

It is not an unprimeable number, because it can be changed into a prime (2028857491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150966 + ... + 163854.

It is an arithmetic number, because the mean of its divisors is an integer number (46984050).

Almost surely, 22028857490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028857490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006979200).

2028857490 is an abundant number, since it is smaller than the sum of its proper divisors (3985100910).

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

2028857490 is a wasteful number, since it uses less digits than its factorization.

2028857490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969 (or 12963 counting only the distinct ones).

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

The square root of 2028857490 is about 45042.8406075816. The cubic root of 2028857490 is about 1265.9518298871.

The spelling of 2028857490 in words is "two billion, twenty-eight million, eight hundred fifty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 53 54 55 66 90 99 106 110 135 159 165 198 265 270 297 318 330 477 495 530 583 594 795 954 990 1166 1431 1485 1590 1749 2385 2862 2915 2970 3498 4770 5247 5830 7155 8745 10494 12889 14310 15741 17490 25778 26235 31482 38667 52470 64445 77334 78705 116001 128890 141779 157410 193335 232002 283558 348003 386670 425337 580005 683117 696006 708895 850674 1160010 1276011 1366234 1417790 1740015 2049351 2126685 2552022 3415585 3480030 3828033 4098702 4253370 6148053 6380055 6831170 7514287 7656066 10246755 12296106 12760110 15028574 18444159 19140165 20493510 22542861 30740265 36888318 37571435 38280330 45085722 61480530 67628583 75142870 92220795 112714305 135257166 184441590 202885749 225428610 338142915 405771498 676285830 1014428745 2028857490