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4932648344 = 23131912391039
BaseRepresentation
bin1001001100000001…
…00011110110011000
3110201202122111110102
410212000203312120
540100224221334
62133243434532
7233143550651
oct44600436630
913652574412
104932648344
112101395788
12b57b25a48
13607c09640
1434b16c528
151dd0a067e
hex126023d98

4932648344 has 64 divisors (see below), whose sum is σ = 10063872000. Its totient is φ = 2253041280.

The previous prime is 4932648341. The next prime is 4932648353. The reversal of 4932648344 is 4438462394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932648341) 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 15 ways as a sum of consecutive naturals, for example, 4746977 + ... + 4748015.

It is an arithmetic number, because the mean of its divisors is an integer number (157248000).

Almost surely, 24932648344 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 4932648344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031936000).

4932648344 is an abundant number, since it is smaller than the sum of its proper divisors (5131223656).

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

4932648344 is a wasteful number, since it uses less digits than its factorization.

4932648344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1484 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 47.

The square root of 4932648344 is about 70232.8152931377. The cubic root of 4932648344 is about 1702.2632305793.

The spelling of 4932648344 in words is "four billion, nine hundred thirty-two million, six hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 191 239 382 478 764 956 1039 1528 1912 2078 2483 3107 4156 4966 6214 8312 9932 12428 13507 19864 24856 27014 45649 54028 91298 108056 182596 198449 248321 365192 396898 496642 593437 793796 993284 1186874 1587592 1986568 2373748 2579837 3228173 4747496 5159674 6456346 10319348 12912692 20638696 25825384 47429311 94858622 189717244 379434488 616581043 1233162086 2466324172 4932648344