Search a number
-
+
2089078464 = 263114492203
BaseRepresentation
bin111110010000100…
…1100111011000000
312101120222011220110
41330201030323000
513234301002324
6543144111320
7102524605524
oct17441147300
95346864813
102089078464
11982259630
124a3765540
13273a65a05
1415b645d84
15c360b329
hex7c84cec0

2089078464 has 112 divisors (see below), whose sum is σ = 6046012800. Its totient is φ = 631357440.

The previous prime is 2089078463. The next prime is 2089078469. The reversal of 2089078464 is 4648709802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2089078463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947187 + ... + 949389.

Almost surely, 22089078464 is an apocalyptic number.

2089078464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023006400).

2089078464 is an abundant number, since it is smaller than the sum of its proper divisors (3956934336).

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

2089078464 is a wasteful number, since it uses less digits than its factorization.

2089078464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2089078464 is about 45706.4378835192. The cubic root of 2089078464 is about 1278.3553225479.

The spelling of 2089078464 in words is "two billion, eighty-nine million, seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 449 528 704 898 1056 1347 1796 2112 2203 2694 3592 4406 4939 5388 6609 7184 8812 9878 10776 13218 14368 14817 17624 19756 21552 24233 26436 28736 29634 35248 39512 43104 48466 52872 59268 70496 72699 79024 86208 96932 105744 118536 140992 145398 158048 193864 211488 237072 290796 316096 387728 422976 474144 581592 775456 948288 989147 1163184 1550912 1978294 2326368 2967441 3956588 4652736 5934882 7913176 10880617 11869764 15826352 21761234 23739528 31652704 32641851 43522468 47479056 63305408 65283702 87044936 94958112 130567404 174089872 189916224 261134808 348179744 522269616 696359488 1044539232 2089078464