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2097308752 = 247114141521
BaseRepresentation
bin111110100000010…
…0110010001010000
312102011110022201221
41331000212101100
513243402340002
6544040334424
7102654554530
oct17500462120
95364408657
102097308752
11986970120
124a6474414
13275687bc6
1415c7894c0
15c41d4c37
hex7d026450

2097308752 has 80 divisors (see below), whose sum is σ = 5189917824. Its totient is φ = 797184000.

The previous prime is 2097308747. The next prime is 2097308753. The reversal of 2097308752 is 2578037902.

It is a junction number, because it is equal to n+sod(n) for n = 2097308699 and 2097308708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097308753) 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, 29752 + ... + 71272.

Almost surely, 22097308752 is an apocalyptic number.

2097308752 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 2097308752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594958912).

2097308752 is an abundant number, since it is smaller than the sum of its proper divisors (3092609072).

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

2097308752 is a wasteful number, since it uses less digits than its factorization.

2097308752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41588 (or 41582 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 2097308752 is about 45796.3836126828. The cubic root of 2097308752 is about 1280.0318904815.

The spelling of 2097308752 in words is "two billion, ninety-seven million, three hundred eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 902 1148 1232 1804 2296 3157 3608 4592 6314 7216 12628 25256 41521 50512 83042 166084 290647 332168 456731 581294 664336 913462 1162588 1702361 1826924 2325176 3197117 3404722 3653848 4650352 6394234 6809444 7307696 11916527 12788468 13618888 18725971 23833054 25576936 27237776 37451942 47666108 51153872 74903884 95332216 131081797 149807768 190664432 262163594 299615536 524327188 1048654376 2097308752