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819440412 = 2237231972153
BaseRepresentation
bin110000110101111…
…010101100011100
32010002220212220220
4300311322230130
53134234043122
6213151241340
726210062050
oct6065725434
92102825826
10819440412
1139060978a
121aa519250
131009cb6ab
147ab89c60
154be1725c
hex30d7ab1c

819440412 has 96 divisors (see below), whose sum is σ = 2292820992. Its totient is φ = 222706176.

The previous prime is 819440411. The next prime is 819440431. The reversal of 819440412 is 214044918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819440411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379528 + ... + 381680.

It is an arithmetic number, because the mean of its divisors is an integer number (23883552).

Almost surely, 2819440412 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 819440412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146410496).

819440412 is an abundant number, since it is smaller than the sum of its proper divisors (1473380580).

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

819440412 is a wasteful number, since it uses less digits than its factorization.

819440412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 819440412 is about 28625.8696287117. The cubic root of 819440412 is about 935.7771996912. Note that the first 3 decimals are identical.

The spelling of 819440412 in words is "eight hundred nineteen million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 197 276 322 394 483 591 644 788 966 1182 1379 1932 2153 2364 2758 4137 4306 4531 5516 6459 8274 8612 9062 12918 13593 15071 16548 18124 25836 27186 30142 31717 45213 49519 54372 60284 63434 90426 95151 99038 126868 148557 180852 190302 198076 297114 346633 380604 424141 594228 693266 848282 1039899 1272423 1386532 1696564 2079798 2544846 2968987 4159596 5089692 5937974 8906961 9755243 11875948 17813922 19510486 29265729 35627844 39020972 58531458 68286701 117062916 136573402 204860103 273146804 409720206 819440412