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1819381944 = 233434993533
BaseRepresentation
bin110110001110001…
…1001000010111000
311200210111011211110
41230130121002320
512211230210234
6500311400320
763041330352
oct15434310270
94623434743
101819381944
11853aa2646
124293830a0
1322cc18083
141338c00d2
15a9ad61e9
hex6c7190b8

1819381944 has 64 divisors (see below), whose sum is σ = 4664880000. Its totient is φ = 591002496.

The previous prime is 1819381919. The next prime is 1819381957. The reversal of 1819381944 is 4491839181.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1819381893 and 1819381902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513202 + ... + 516734.

It is an arithmetic number, because the mean of its divisors is an integer number (72888750).

Almost surely, 21819381944 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 1819381944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332440000).

1819381944 is an abundant number, since it is smaller than the sum of its proper divisors (2845498056).

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

1819381944 is a wasteful number, since it uses less digits than its factorization.

1819381944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4080 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 1819381944 is about 42654.2136722739. The cubic root of 1819381944 is about 1220.7909284974.

The spelling of 1819381944 in words is "one billion, eight hundred nineteen million, three hundred eighty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 499 516 998 1032 1497 1996 2994 3533 3992 5988 7066 10599 11976 14132 21198 21457 28264 42396 42914 64371 84792 85828 128742 151919 171656 257484 303838 455757 514968 607676 911514 1215352 1762967 1823028 3525934 3646056 5288901 7051868 10577802 14103736 21155604 42311208 75807581 151615162 227422743 303230324 454845486 606460648 909690972 1819381944