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1897319424 = 210371113617
BaseRepresentation
bin111000100010110…
…1100110000000000
311220020010210221210
41301011230300000
512341203210144
6512134050120
765005643340
oct16105546000
94806123853
101897319424
11893a95190
1244b4a9940
13243105720
1413ddaad20
15b187dab9
hex7116cc00

1897319424 has 352 divisors, whose sum is σ = 6800887296. Its totient is φ = 454164480.

The previous prime is 1897319419. The next prime is 1897319477. The reversal of 1897319424 is 4249137981.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3074764 + ... + 3075380.

Almost surely, 21897319424 is an apocalyptic number.

1897319424 is a gapful number since it is divisible by the number (14) 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 1897319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400443648).

1897319424 is an abundant number, since it is smaller than the sum of its proper divisors (4903567872).

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

1897319424 is a wasteful number, since it uses less digits than its factorization.

1897319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 1897319424 is about 43558.2302670804. The cubic root of 1897319424 is about 1237.9795887483.

The spelling of 1897319424 in words is "one billion, eight hundred ninety-seven million, three hundred nineteen thousand, four hundred twenty-four".