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2803688416 = 251721571931
BaseRepresentation
bin1010011100011100…
…1110001111100000
321020101122010110201
42213013032033200
521220221012131
61142112434544
7126322646464
oct24707161740
97211563421
102803688416
111209677671
12662b48a54
13358b1c039
141c85044a4
15116217761
hexa71ce3e0

2803688416 has 72 divisors (see below), whose sum is σ = 5903956296. Its totient is φ = 1310300160.

The previous prime is 2803688411. The next prime is 2803688441. The reversal of 2803688416 is 6148863082.

2803688416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2803688411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450971 + ... + 1452901.

It is an arithmetic number, because the mean of its divisors is an integer number (81999393).

Almost surely, 22803688416 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 2803688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951978148).

2803688416 is an abundant number, since it is smaller than the sum of its proper divisors (3100267880).

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

2803688416 is a wasteful number, since it uses less digits than its factorization.

2803688416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 2803688416 is about 52949.8670064430. The cubic root of 2803688416 is about 1410.0783646066.

The spelling of 2803688416 in words is "two billion, eight hundred three million, six hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 157 272 289 314 544 578 628 1156 1256 1931 2312 2512 2669 3862 4624 5024 5338 7724 9248 10676 15448 21352 30896 32827 42704 45373 61792 65654 85408 90746 131308 181492 262616 303167 362984 525232 558059 606334 725968 1050464 1116118 1212668 1451936 2232236 2425336 4464472 4850672 5153839 8928944 9701344 10307678 17857888 20615356 41230712 82461424 87615263 164922848 175230526 350461052 700922104 1401844208 2803688416