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1035809944 = 2313311013181
BaseRepresentation
bin111101101111010…
…011010010011000
32200012001121010021
4331233103102120
54110131404234
6250441000224
734445145031
oct7557232230
92605047107
101035809944
11491762384
1224aa83074
131367977c0
149b7cda88
1560e069b4
hex3dbd3498

1035809944 has 64 divisors (see below), whose sum is σ = 2181070080. Its totient is φ = 457920000.

The previous prime is 1035809939. The next prime is 1035809953. The reversal of 1035809944 is 4499085301.

It is a happy number.

It is a super-3 number, since 3×10358099443 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1035809944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324034 + ... + 327214.

It is an arithmetic number, because the mean of its divisors is an integer number (34079220).

Almost surely, 21035809944 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 1035809944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090535040).

1035809944 is an abundant number, since it is smaller than the sum of its proper divisors (1145260136).

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

1035809944 is a wasteful number, since it uses less digits than its factorization.

1035809944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 1035809944 is about 32184.0013671389. The cubic root of 1035809944 is about 1011.7969331186.

The spelling of 1035809944 in words is "one billion, thirty-five million, eight hundred nine thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 101 104 124 202 248 403 404 806 808 1313 1612 2626 3131 3181 3224 5252 6262 6362 10504 12524 12724 25048 25448 40703 41353 81406 82706 98611 162812 165412 197222 321281 325624 330824 394444 642562 788888 1281943 1285124 2563886 2570248 4176653 5127772 8353306 9959711 10255544 16706612 19919422 33413224 39838844 79677688 129476243 258952486 517904972 1035809944