Search a number
-
+
2084888400 = 243527248201
BaseRepresentation
bin111110001000100…
…1101111101010000
312101022002022012220
41330101031331100
513232212412100
6542514221040
7102444154560
oct17421157520
95338068186
102084888400
1197a957571
124a2284780
13272c2979a
1415ac74da0
15c307eaa0
hex7c44df50

2084888400 has 120 divisors (see below), whose sum is σ = 7632707904. Its totient is φ = 476544000.

The previous prime is 2084888389. The next prime is 2084888437. The reversal of 2084888400 is 48884802.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115701 + ... + 132500.

Almost surely, 22084888400 is an apocalyptic number.

2084888400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084888400 is an abundant number, since it is smaller than the sum of its proper divisors (5547819504).

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

2084888400 is a wasteful number, since it uses less digits than its factorization.

2084888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248229 (or 248218 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 2084888400 is about 45660.5781829359. The cubic root of 2084888400 is about 1277.5000848904.

The spelling of 2084888400 in words is "two billion, eighty-four million, eight hundred eighty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 248201 496402 744603 992804 1241005 1489206 1737407 1985608 2482010 2978412 3474814 3723015 3971216 4964020 5212221 5956824 6205025 6949628 7446030 8687035 9928040 10424442 11913648 12410050 13899256 14892060 17374070 18615075 19856080 20848884 24820100 26061105 27798512 29784120 34748140 37230150 41697768 43435175 49640200 52122210 59568240 69496280 74460300 83395536 86870350 99280400 104244420 130305525 138992560 148920600 173740700 208488840 260611050 297841200 347481400 416977680 521222100 694962800 1042444200 2084888400