Search a number
-
+
4907661440 = 27511697111
BaseRepresentation
bin1001001001000010…
…01111100010000000
3110200000122000212112
410210201033202000
540022330131230
62130552114452
7232421301563
oct44441174200
913600560775
104907661440
112099279750
12b4b695a28
1360299b3a6
14347b064da
151dacb6d95
hex12484f880

4907661440 has 64 divisors (see below), whose sum is σ = 12798976320. Its totient is φ = 1784601600.

The previous prime is 4907661431. The next prime is 4907661443. The reversal of 4907661440 is 441667094.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4907661443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341516 + ... + 355595.

It is an arithmetic number, because the mean of its divisors is an integer number (199984005).

Almost surely, 24907661440 is an apocalyptic number.

4907661440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4907661440 is an abundant number, since it is smaller than the sum of its proper divisors (7891314880).

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

4907661440 is a wasteful number, since it uses less digits than its factorization.

4907661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697141 (or 697129 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 4907661440 is about 70054.7031968590. The cubic root of 4907661440 is about 1699.3840259713.

The spelling of 4907661440 in words is "four billion, nine hundred seven million, six hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 697111 1394222 2788444 3485555 5576888 6971110 7668221 11153776 13942220 15336442 22307552 27884440 30672884 38341105 44615104 55768880 61345768 76682210 89230208 111537760 122691536 153364420 223075520 245383072 306728840 446151040 490766144 613457680 981532288 1226915360 2453830720 4907661440