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96485792 = 2513415657
BaseRepresentation
bin1011100000001…
…00000110100000
320201112222121212
411300010012200
5144200021132
613324005252
72251054454
oct560040640
9221488555
1096485792
114a511227
1228390828
1316cb30b0
14cb58664
15870d5b2
hex5c041a0

96485792 has 48 divisors (see below), whose sum is σ = 209594952. Its totient is φ = 43438080.

The previous prime is 96485789. The next prime is 96485801. The reversal of 96485792 is 29758469.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19678096 + 76807696 = 4436^2 + 8764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96485792.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14228 + ... + 19884.

Almost surely, 296485792 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 96485792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104797476).

96485792 is an abundant number, since it is smaller than the sum of its proper divisors (113109160).

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

96485792 is a wasteful number, since it uses less digits than its factorization.

96485792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5713 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The square root of 96485792 is about 9822.7181574145. The cubic root of 96485792 is about 458.6567493048.

The spelling of 96485792 in words is "ninety-six million, four hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 5657 8528 11314 17056 22628 45256 73541 90512 147082 181024 231937 294164 463874 588328 927748 1176656 1855496 2353312 3015181 3710992 6030362 7421984 12060724 24121448 48242896 96485792