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3025971936 = 2532137691051
BaseRepresentation
bin1011010001011100…
…1010101011100000
321210212220022010200
42310113022223200
522144122100221
61220133025200
7134662223421
oct26427125340
97725808120
103025971936
11131309a559
12705485200
13392ba8c50
14209c47648
1512a9c4426
hexb45caae0

3025971936 has 144 divisors (see below), whose sum is σ = 9287918640. Its totient is φ = 928972800.

The previous prime is 3025971929. The next prime is 3025971943. The reversal of 3025971936 is 6391795203.

It is an interprime number because it is at equal distance from previous prime (3025971929) and next prime (3025971943).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3025971891 and 3025971900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2878611 + ... + 2879661.

It is an arithmetic number, because the mean of its divisors is an integer number (64499435).

Almost surely, 23025971936 is an apocalyptic number.

3025971936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3025971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643959320).

3025971936 is an abundant number, since it is smaller than the sum of its proper divisors (6261946704).

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

3025971936 is a wasteful number, since it uses less digits than its factorization.

3025971936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3025971936 is about 55008.8350721954. The cubic root of 3025971936 is about 1446.3996186646.

The spelling of 3025971936 in words is "three billion, twenty-five million, nine hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 769 936 1051 1248 1538 1872 2102 2307 3076 3153 3744 4204 4614 6152 6306 6921 8408 9228 9459 9997 12304 12612 13663 13842 16816 18456 18918 19994 24608 25224 27326 27684 29991 33632 36912 37836 39988 40989 50448 54652 55368 59982 73824 75672 79976 81978 89973 100896 109304 110736 119964 122967 151344 159952 163956 179946 218608 221472 239928 245934 302688 319904 327912 359892 437216 479856 491868 655824 719784 808219 959712 983736 1311648 1439568 1616438 1967472 2424657 2879136 3232876 3934944 4849314 6465752 7273971 9698628 10506847 12931504 14547942 19397256 21013694 25863008 29095884 31520541 38794512 42027388 58191768 63041082 77589024 84054776 94561623 116383536 126082164 168109552 189123246 232767072 252164328 336219104 378246492 504328656 756492984 1008657312 1512985968 3025971936