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1331921448 = 23331113231107
BaseRepresentation
bin100111101100011…
…1000001000101000
310102211020121202000
41033120320020220
510211432441243
6340055411000
745002100624
oct11730701050
93384217660
101331921448
11623920330
12312083a60
13182c33700
14c8c70184
157bde85d3
hex4f638228

1331921448 has 384 divisors, whose sum is σ = 4553625600. Its totient is φ = 357177600.

The previous prime is 1331921443. The next prime is 1331921471. The reversal of 1331921448 is 8441291331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331921443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12447811 + ... + 12447917.

It is an arithmetic number, because the mean of its divisors is an integer number (11858400).

Almost surely, 21331921448 is an apocalyptic number.

1331921448 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 1331921448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276812800).

1331921448 is an abundant number, since it is smaller than the sum of its proper divisors (3221704152).

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

1331921448 is a wasteful number, since it uses less digits than its factorization.

1331921448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1331921448 is about 36495.4990101519. The cubic root of 1331921448 is about 1100.2537838686.

The spelling of 1331921448 in words is "one billion, three hundred thirty-one million, nine hundred twenty-one thousand, four hundred forty-eight".