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3929709056 = 29721312049
BaseRepresentation
bin1110101000111010…
…1001101000000000
3101010212102220101212
43222032221220000
531022001142211
61445535145252
7166244655500
oct35216515000
911125386355
103929709056
111737244639
12918075228
134a81b0640
14293c97a00
1517eedd38b
hexea3a9a00

3929709056 has 120 divisors (see below), whose sum is σ = 9837065700. Its totient is φ = 1554481152.

The previous prime is 3929709041. The next prime is 3929709059. The reversal of 3929709056 is 6509079293.

It can be written as a sum of positive squares in 2 ways, for example, as 3891763456 + 37945600 = 62384^2 + 6160^2 .

It is a super-2 number, since 2×39297090562 = 30885226529616822272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3929708995 and 3929709013.

It is not an unprimeable number, because it can be changed into a prime (3929709059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320120 + ... + 332168.

Almost surely, 23929709056 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 3929709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918532850).

3929709056 is an abundant number, since it is smaller than the sum of its proper divisors (5907356644).

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

3929709056 is a wasteful number, since it uses less digits than its factorization.

3929709056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12094 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 50.

The square root of 3929709056 is about 62687.3915233359. The cubic root of 3929709056 is about 1578.0477217126.

The spelling of 3929709056 in words is "three billion, nine hundred twenty-nine million, seven hundred nine thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 10192 11648 12049 12544 20384 23296 24098 25088 40768 46592 48196 81536 84343 96392 156637 163072 168686 192784 313274 326144 337372 385568 590401 626548 674744 771136 1096459 1180802 1253096 1349488 1542272 2192918 2361604 2506192 2698976 3084544 4385836 4723208 5012384 5397952 6169088 7675213 8771672 9446416 10024768 10795904 15350426 17543344 18892832 20049536 21591808 30700852 35086688 37785664 40099072 43183616 61401704 70173376 75571328 80198144 122803408 140346752 151142656 245606816 280693504 302285312 491213632 561387008 982427264 1964854528 3929709056