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3838863744 = 27324770901
BaseRepresentation
bin1110010011010000…
…0110100110000000
3100220112111111001200
43210310012212000
530330222114434
61432532101200
7164062542402
oct34464064600
910815444050
103838863744
11169aa36171
128b1764800
13492423a11
14285baab72
15177046199
hexe4d06980

3838863744 has 96 divisors (see below), whose sum is σ = 11281926240. Its totient is φ = 1252377600.

The previous prime is 3838863731. The next prime is 3838863757. The reversal of 3838863744 is 4473688383.

It is an interprime number because it is at equal distance from previous prime (3838863731) and next prime (3838863757).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18694 + ... + 89594.

It is an arithmetic number, because the mean of its divisors is an integer number (117520065).

Almost surely, 23838863744 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 3838863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640963120).

3838863744 is an abundant number, since it is smaller than the sum of its proper divisors (7443062496).

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

3838863744 is a wasteful number, since it uses less digits than its factorization.

3838863744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70968 (or 70953 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 3838863744 is about 61958.5647348290. The cubic root of 3838863744 is about 1565.7925866527.

The spelling of 3838863744 in words is "three billion, eight hundred thirty-eight million, eight hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 2256 3008 3384 4512 6016 6768 9024 13536 18048 27072 54144 70901 141802 212703 283604 425406 567208 638109 850812 1134416 1276218 1701624 2268832 2552436 3332347 3403248 4537664 5104872 6664694 6806496 9075328 9997041 10209744 13329388 13612992 19994082 20419488 26658776 27225984 29991123 39988164 40838976 53317552 59982246 79976328 81677952 106635104 119964492 159952656 213270208 239928984 319905312 426540416 479857968 639810624 959715936 1279621248 1919431872 3838863744