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4048025696 = 2511131946559
BaseRepresentation
bin1111000101000111…
…1111100001100000
3101110010002000022122
43301101333201200
531242243310241
61505403123412
7202212436121
oct36121774140
911403060278
104048025696
111798006690
1294b813568
134c68682a0
142a5896048
1518a5b004b
hexf147f860

4048025696 has 96 divisors (see below), whose sum is σ = 9855820800. Its totient is φ = 1609044480.

The previous prime is 4048025689. The next prime is 4048025699. The reversal of 4048025696 is 6965208404.

4048025696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048025699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63665 + ... + 110223.

It is an arithmetic number, because the mean of its divisors is an integer number (102664800).

Almost surely, 24048025696 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 4048025696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927910400).

4048025696 is an abundant number, since it is smaller than the sum of its proper divisors (5807795104).

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

4048025696 is a wasteful number, since it uses less digits than its factorization.

4048025696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46612 (or 46604 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 4048025696 is about 63624.0968187368. The cubic root of 4048025696 is about 1593.7287979627.

The spelling of 4048025696 in words is "four billion, forty-eight million, twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 76 88 104 143 152 176 208 209 247 286 304 352 416 418 494 572 608 836 988 1144 1672 1976 2288 2717 3344 3952 4576 5434 6688 7904 10868 21736 43472 46559 86944 93118 186236 372472 512149 605267 744944 884621 1024298 1210534 1489888 1769242 2048596 2421068 3538484 4097192 4842136 6657937 7076968 8194384 9684272 9730831 11500073 13315874 14153936 16388768 19368544 19461662 23000146 26631748 28307872 38923324 46000292 53263496 77846648 92000584 106526992 126500803 155693296 184001168 213053984 253001606 311386592 368002336 506003212 1012006424 2024012848 4048025696