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1944241984 = 26127251953
BaseRepresentation
bin111001111100010…
…1100011101000000
312000111102201121101
41303320230131000
512440211220414
6520531504144
766115532656
oct16370543500
95014381541
101944241984
11908523863
12463158054
1324ca54159
14146302dd6
15b5a4ba74
hex73e2c740

1944241984 has 56 divisors (see below), whose sum is σ = 3908072448. Its totient is φ = 959616000.

The previous prime is 1944241969. The next prime is 1944241993. The reversal of 1944241984 is 4891424491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039652 + ... + 2040604.

It is an arithmetic number, because the mean of its divisors is an integer number (69787008).

Almost surely, 21944241984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1944241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954036224).

1944241984 is an abundant number, since it is smaller than the sum of its proper divisors (1963830464).

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

1944241984 is a wasteful number, since it uses less digits than its factorization.

1944241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1333 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 1944241984 is about 44093.5594389929. The cubic root of 1944241984 is about 1248.1020763538.

The spelling of 1944241984 in words is "one billion, nine hundred forty-four million, two hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 251 254 502 508 953 1004 1016 1906 2008 2032 3812 4016 4064 7624 8032 8128 15248 16064 30496 31877 60992 63754 121031 127508 239203 242062 255016 478406 484124 510032 956812 968248 1020064 1913624 1936496 2040128 3827248 3872992 7654496 7745984 15308992 30378781 60757562 121515124 243030248 486060496 972120992 1944241984