Search a number
-
+
2042212032 = 26327506501
BaseRepresentation
bin111100110111001…
…1010111011000000
312021022210010020200
41321232122323000
513140301241112
6534351405200
7101415341640
oct17156327300
95238703220
102042212032
11958859143
1248bb23800
132671369b3
14155326520
15be44ecdc
hex79b9aec0

2042212032 has 84 divisors (see below), whose sum is σ = 6689878416. Its totient is φ = 583488000.

The previous prime is 2042212019. The next prime is 2042212063. The reversal of 2042212032 is 2302122402.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2042211996 and 2042212014.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 249219 + ... + 257282.

Almost surely, 22042212032 is an apocalyptic number.

It is an amenable number.

2042212032 is an abundant number, since it is smaller than the sum of its proper divisors (4647666384).

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

2042212032 is a wasteful number, since it uses less digits than its factorization.

2042212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506526 (or 506513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2042212032 is about 45190.8401338147. The cubic root of 2042212032 is about 1268.7233812206.

Adding to 2042212032 its reverse (2302122402), we get a palindrome (4344334434).

The spelling of 2042212032 in words is "two billion, forty-two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 506501 1013002 1519503 2026004 3039006 3545507 4052008 4558509 6078012 7091014 8104016 9117018 10636521 12156024 14182028 16208032 18234036 21273042 24312048 28364056 31909563 32416064 36468072 42546084 48624096 56728112 63819126 72936144 85092168 97248192 113456224 127638252 145872288 170184336 226912448 255276504 291744576 340368672 510553008 680737344 1021106016 2042212032