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2808240732 = 2233114354973
BaseRepresentation
bin1010011101100010…
…0101101001011100
321020201012102002000
42213120211221130
521222402200412
61142354202300
7126406436523
oct24730455134
97221172060
102808240732
1112111a6910
12664583390
13359a5410b
141c8d6b4ba
151168164dc
hexa7625a5c

2808240732 has 96 divisors (see below), whose sum is σ = 8127356160. Its totient is φ = 831176640.

The previous prime is 2808240703. The next prime is 2808240737. The reversal of 2808240732 is 2370428082.

2808240732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2808240737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23598 + ... + 78570.

It is an arithmetic number, because the mean of its divisors is an integer number (84659960).

Almost surely, 22808240732 is an apocalyptic number.

2808240732 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 2808240732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063678080).

2808240732 is an abundant number, since it is smaller than the sum of its proper divisors (5319115428).

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

2808240732 is a wasteful number, since it uses less digits than its factorization.

2808240732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55040 (or 55032 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2808240732 is about 52992.8366102438. The cubic root of 2808240732 is about 1410.8411278267.

The spelling of 2808240732 in words is "two billion, eight hundred eight million, two hundred forty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 129 132 172 198 258 297 387 396 473 516 594 774 946 1161 1188 1419 1548 1892 2322 2838 4257 4644 5676 8514 12771 17028 25542 51084 54973 109946 164919 219892 329838 494757 604703 659676 989514 1209406 1484271 1814109 1979028 2363839 2418812 2968542 3628218 4727678 5442327 5937084 7091517 7256436 9455356 10884654 14183034 16326981 21274551 21769308 26002229 28366068 32653962 42549102 52004458 63823653 65307924 78006687 85098204 104008916 127647306 156013374 234020061 255294612 312026748 468040122 702060183 936080244 1404120366 2808240732