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96802816 = 211114297
BaseRepresentation
bin1011100010100…
…01100000000000
320202011002111111
411301101200000
5144240142231
613334453104
72253544645
oct561214000
9222132444
1096802816
114a708430
1228504194
1317094496
14cbdbdcc
1587724b1
hex5c51800

96802816 has 48 divisors (see below), whose sum is σ = 211203720. Its totient is φ = 43991040.

The previous prime is 96802813. The next prime is 96802859. The reversal of 96802816 is 61820869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96802813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20380 + ... + 24676.

Almost surely, 296802816 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 96802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105601860).

96802816 is an abundant number, since it is smaller than the sum of its proper divisors (114400904).

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

96802816 is a wasteful number, since it uses less digits than its factorization.

96802816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 96802816 is about 9838.8422083089. The cubic root of 96802816 is about 459.1585372932.

The spelling of 96802816 in words is "ninety-six million, eight hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4297 5632 8594 11264 17188 22528 34376 47267 68752 94534 137504 189068 275008 378136 550016 756272 1100032 1512544 2200064 3025088 4400128 6050176 8800256 12100352 24200704 48401408 96802816