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2030948832 = 253114913917
BaseRepresentation
bin111100100001101…
…1101000111100000
312020112120220001010
41321003131013200
513124410330312
6533310140520
7101220531423
oct17103350740
95215526033
102030948832
11952465a10
124881b1740
132649c2193
14153a339ba
15bd47793c
hex790dd1e0

2030948832 has 96 divisors (see below), whose sum is σ = 5829231744. Its totient is φ = 614028800.

The previous prime is 2030948831. The next prime is 2030948839. The reversal of 2030948832 is 2388490302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030948831) 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, 516538 + ... + 520454.

It is an arithmetic number, because the mean of its divisors is an integer number (60721164).

Almost surely, 22030948832 is an apocalyptic number.

2030948832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030948832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914615872).

2030948832 is an abundant number, since it is smaller than the sum of its proper divisors (3798282912).

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

2030948832 is a wasteful number, since it uses less digits than its factorization.

2030948832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2030948832 is about 45066.0496604706. The cubic root of 2030948832 is about 1266.3866606680.

The spelling of 2030948832 in words is "two billion, thirty million, nine hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 491 528 982 1056 1473 1964 2946 3917 3928 5401 5892 7834 7856 10802 11751 11784 15668 15712 16203 21604 23502 23568 31336 32406 43087 43208 47004 47136 62672 64812 86174 86416 94008 125344 129261 129624 172348 172832 188016 258522 259248 344696 376032 517044 518496 689392 1034088 1378784 1923247 2068176 3846494 4136352 5769741 7692988 11539482 15385976 21155717 23078964 30771952 42311434 46157928 61543904 63467151 84622868 92315856 126934302 169245736 184631712 253868604 338491472 507737208 676982944 1015474416 2030948832