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4941540384 = 253114679489
BaseRepresentation
bin1001001101000100…
…11110110000100000
3110202101101021001020
410212202132300200
540110013243014
62134202205440
7233312254164
oct44642366040
913671337036
104941540384
112106409480
12b5aab3880
13609a00ac1
1434c404ca4
151ddc5a1a9
hex12689ec20

4941540384 has 48 divisors (see below), whose sum is σ = 14150777760. Its totient is φ = 1497436160.

The previous prime is 4941540361. The next prime is 4941540427. The reversal of 4941540384 is 4830451494.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2338689 + ... + 2340800.

It is an arithmetic number, because the mean of its divisors is an integer number (294807870).

Almost surely, 24941540384 is an apocalyptic number.

4941540384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4941540384 is an abundant number, since it is smaller than the sum of its proper divisors (9209237376).

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

4941540384 is a wasteful number, since it uses less digits than its factorization.

4941540384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679513 (or 4679505 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4941540384 is about 70296.0908159195. The cubic root of 4941540384 is about 1703.2855013250.

The spelling of 4941540384 in words is "four billion, nine hundred forty-one million, five hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 4679489 9358978 14038467 18717956 28076934 37435912 51474379 56153868 74871824 102948758 112307736 149743648 154423137 205897516 224615472 308846274 411795032 449230944 617692548 823590064 1235385096 1647180128 2470770192 4941540384