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1972482048 = 2123253507
BaseRepresentation
bin111010110010001…
…1011000000000000
312002110120110200200
41311210123000000
513014423411143
6523421045200
766610551345
oct16544330000
95073513620
101972482048
11922461a59
124706b6800
13255861054
14149d747cc
15b82791d3
hex7591b000

1972482048 has 78 divisors (see below), whose sum is σ = 5697692364. Its totient is φ = 657481728.

The previous prime is 1972482037. The next prime is 1972482049. The reversal of 1972482048 is 8402842791.

It is a junction number, because it is equal to n+sod(n) for n = 1972481994 and 1972482012.

It is not an unprimeable number, because it can be changed into a prime (1972482049) 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 5 ways as a sum of consecutive naturals, for example, 10111 + ... + 63617.

It is an arithmetic number, because the mean of its divisors is an integer number (73047338).

Almost surely, 21972482048 is an apocalyptic number.

1972482048 is a gapful number since it is divisible by the number (18) 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 1972482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848846182).

1972482048 is an abundant number, since it is smaller than the sum of its proper divisors (3725210316).

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

1972482048 is an equidigital number, since it uses as much as digits as its factorization.

1972482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53537 (or 53512 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1972482048 is about 44412.6338782108. The cubic root of 1972482048 is about 1254.1159359550.

The spelling of 1972482048 in words is "one billion, nine hundred seventy-two million, four hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 53507 107014 160521 214028 321042 428056 481563 642084 856112 963126 1284168 1712224 1926252 2568336 3424448 3852504 5136672 6848896 7705008 10273344 13697792 15410016 20546688 27395584 30820032 41093376 54791168 61640064 82186752 109582336 123280128 164373504 219164672 246560256 328747008 493120512 657494016 986241024 1972482048