Search a number
-
+
1973922048 = 283671511
BaseRepresentation
bin111010110100111…
…1010100100000000
312002120021122000000
41311221322210000
513020311001143
6523512000000
766626026530
oct16551724400
95076248000
101973922048
1192325593a
12471090000
13255c46617
1414a22b4c0
15b8460bd3
hex75a7a900

1973922048 has 252 divisors, whose sum is σ = 6755894208. Its totient is φ = 563604480.

The previous prime is 1973922043. The next prime is 1973922059. The reversal of 1973922048 is 8402293791.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 1973921994 and 1973922012.

It is not an unprimeable number, because it can be changed into a prime (1973922043) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1305613 + ... + 1307123.

It is an arithmetic number, because the mean of its divisors is an integer number (26809104).

Almost surely, 21973922048 is an apocalyptic number.

1973922048 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 1973922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377947104).

1973922048 is an abundant number, since it is smaller than the sum of its proper divisors (4781972160).

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

1973922048 is an frugal number, since it uses more digits than its factorization.

1973922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1973922048 is about 44428.8425237480. The cubic root of 1973922048 is about 1254.4210486021.

The spelling of 1973922048 in words is "one billion, nine hundred seventy-three million, nine hundred twenty-two thousand, forty-eight".