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3004793856 = 210325712
BaseRepresentation
bin1011001100011001…
…1000010000000000
321202102001100021100
42303012120100000
522123211400411
61214055054400
7134314216641
oct26306302000
97672040240
103004793856
111302145109
126ba371400
1338b6a253c
142070d36c8
15128bde456
hexb3198400

3004793856 has 99 divisors (see below), whose sum is σ = 8691498543. Its totient is φ = 999843840.

The previous prime is 3004793839. The next prime is 3004793873. The reversal of 3004793856 is 6583974003.

The square root of 3004793856 is 54816.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3004793839) and next prime (3004793873).

It is a super-2 number, since 2×30047938562 = 18057572234110697472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5262051 + ... + 5262621.

Almost surely, 23004793856 is an apocalyptic number.

3004793856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3004793856 is the 54816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004793856

3004793856 is an abundant number, since it is smaller than the sum of its proper divisors (5686704687).

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

3004793856 is an frugal number, since it uses more digits than its factorization.

3004793856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The cubic root of 3004793856 is about 1443.0173766751.

It can be divided in two parts, 300 and 4793856, that added together give a triangular number (4794156 = T3096).

The spelling of 3004793856 in words is "three billion, four million, seven hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 571 576 768 1024 1142 1152 1536 1713 2284 2304 3072 3426 4568 4608 5139 6852 9136 9216 10278 13704 18272 20556 27408 36544 41112 54816 73088 82224 109632 146176 164448 219264 292352 326041 328896 438528 584704 652082 657792 877056 978123 1304164 1315584 1754112 1956246 2608328 2631168 2934369 3912492 5216656 5262336 5868738 7824984 10433312 11737476 15649968 20866624 23474952 31299936 41733248 46949904 62599872 83466496 93899808 125199744 166932992 187799616 250399488 333865984 375599232 500798976 751198464 1001597952 1502396928 3004793856