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978765768 = 233412292
BaseRepresentation
bin111010010101101…
…100011111001000
32112012201110020000
4322111230133020
54001031001033
6241042203000
733153241341
oct7225543710
92465643200
10978765768
11462540232
12233953460
13127a14056
1493dc10c8
155add9a13
hex3a56c7c8

978765768 has 60 divisors (see below), whose sum is σ = 2743682865. Its totient is φ = 325989792.

The previous prime is 978765763. The next prime is 978765833. The reversal of 978765768 is 867567879.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 600152004 + 378613764 = 24498^2 + 19458^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22122.

It is not an unprimeable number, because it can be changed into a prime (978765761) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 795778 + ... + 797006.

Almost surely, 2978765768 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 978765768

978765768 is an abundant number, since it is smaller than the sum of its proper divisors (1764917097).

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

978765768 is an equidigital number, since it uses as much as digits as its factorization.

978765768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 1234 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The square root of 978765768 is about 31285.2324268176. The cubic root of 978765768 is about 992.8712239793.

The spelling of 978765768 in words is "nine hundred seventy-eight million, seven hundred sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1229 2458 3687 4916 7374 9832 11061 14748 22122 29496 33183 44244 66366 88488 99549 132732 199098 265464 398196 796392 1510441 3020882 4531323 6041764 9062646 12083528 13593969 18125292 27187938 36250584 40781907 54375876 81563814 108751752 122345721 163127628 244691442 326255256 489382884 978765768