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2028758832 = 243319923599
BaseRepresentation
bin111100011101100…
…0110011100110000
312020101110121221000
41320323012130300
513123330240312
6533151202000
7101163110532
oct17073063460
95211417830
102028758832
119511aa5a1
12487516300
13264406419
14153623852
15bd193adc
hex78ec6730

2028758832 has 80 divisors (see below), whose sum is σ = 5852800000. Its totient is φ = 672826176.

The previous prime is 2028758777. The next prime is 2028758863. The reversal of 2028758832 is 2388578202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74169 + ... + 97767.

It is an arithmetic number, because the mean of its divisors is an integer number (73160000).

Almost surely, 22028758832 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 2028758832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926400000).

2028758832 is an abundant number, since it is smaller than the sum of its proper divisors (3824041168).

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

2028758832 is a wasteful number, since it uses less digits than its factorization.

2028758832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23815 (or 23803 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2028758832 is about 45041.7454368722. The cubic root of 2028758832 is about 1265.9313095859.

The spelling of 2028758832 in words is "two billion, twenty-eight million, seven hundred fifty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 796 1194 1592 1791 2388 3184 3582 4776 5373 7164 9552 10746 14328 21492 23599 28656 42984 47198 70797 85968 94396 141594 188792 212391 283188 377584 424782 566376 637173 849564 1132752 1274346 1699128 2548692 3398256 4696201 5097384 9392402 10194768 14088603 18784804 28177206 37569608 42265809 56354412 75139216 84531618 112708824 126797427 169063236 225417648 253594854 338126472 507189708 676252944 1014379416 2028758832