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96780852 = 22337313409
BaseRepresentation
bin1011100010011…
…00001000110100
320202002222101000
411301030020310
5144233441402
613334203300
72253423630
oct561141064
9222088330
1096780852
114a6a2983
12284b3530
131708749c
14cbd3dc0
15876ac1c
hex5c4c234

96780852 has 96 divisors (see below), whose sum is σ = 288377600. Its totient is φ = 27495936.

The previous prime is 96780839. The next prime is 96780857. The reversal of 96780852 is 25808769.

It is a junction number, because it is equal to n+sod(n) for n = 96780798 and 96780807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96780857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236424 + ... + 236832.

Almost surely, 296780852 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 96780852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144188800).

96780852 is an abundant number, since it is smaller than the sum of its proper divisors (191596748).

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

96780852 is a wasteful number, since it uses less digits than its factorization.

96780852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 96780852 is about 9837.7259567443. The cubic root of 96780852 is about 459.1238078595.

The spelling of 96780852 in words is "ninety-six million, seven hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 313 378 409 626 756 818 939 1227 1252 1636 1878 2191 2454 2817 2863 3681 3756 4382 4908 5634 5726 6573 7362 8451 8589 8764 11043 11268 11452 13146 14724 16902 17178 19719 22086 25767 26292 33804 34356 39438 44172 51534 59157 77301 78876 103068 118314 128017 154602 236628 256034 309204 384051 512068 768102 896119 1152153 1536204 1792238 2304306 2688357 3456459 3584476 4608612 5376714 6912918 8065071 10753428 13825836 16130142 24195213 32260284 48390426 96780852