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3993448032 = 253271980877
BaseRepresentation
bin1110111000000111…
…0010111001100000
3101022022101011211200
43232001302321200
531134310314112
61500133241200
7200650514430
oct35601627140
911268334750
103993448032
11176a219682
12935493200
134b8469402
1429c52a2c0
151858cdcdc
hexee072e60

3993448032 has 72 divisors (see below), whose sum is σ = 12978712656. Its totient is φ = 1140984576.

The previous prime is 3993448027. The next prime is 3993448049. The reversal of 3993448032 is 2308443993.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988423 + ... + 992454.

It is an arithmetic number, because the mean of its divisors is an integer number (180259898).

Almost surely, 23993448032 is an apocalyptic number.

3993448032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3993448032 is an abundant number, since it is smaller than the sum of its proper divisors (8985264624).

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

3993448032 is a wasteful number, since it uses less digits than its factorization.

3993448032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980900 (or 1980889 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3993448032 is about 63193.7341197686. The cubic root of 3993448032 is about 1586.5338615708.

The spelling of 3993448032 in words is "three billion, nine hundred ninety-three million, four hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1980877 3961754 5942631 7923508 11885262 13866139 15847016 17827893 23770524 27732278 31694032 35655786 41598417 47541048 55464556 63388064 71311572 83196834 95082096 110929112 124795251 142623144 166393668 190164192 221858224 249590502 285246288 332787336 443716448 499181004 570492576 665574672 998362008 1331149344 1996724016 3993448032