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96409852 = 22721197461
BaseRepresentation
bin1011011111100…
…01100011111100
320201102010110021
411233301203330
5144140103402
613322221524
72250320200
oct557614374
9221363407
1096409852
114a46a170
12283548a4
1316c87666
14cb38b00
1586e5d37
hex5bf18fc

96409852 has 72 divisors (see below), whose sum is σ = 216781488. Its totient is φ = 37094400.

The previous prime is 96409847. The next prime is 96409867. The reversal of 96409852 is 25890469.

It is a junction number, because it is equal to n+sod(n) for n = 96409799 and 96409808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208902 + ... + 209362.

It is an arithmetic number, because the mean of its divisors is an integer number (3010854).

Almost surely, 296409852 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 96409852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108390744).

96409852 is an abundant number, since it is smaller than the sum of its proper divisors (120371636).

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

96409852 is a wasteful number, since it uses less digits than its factorization.

96409852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 96409852 is about 9818.8518677084. The cubic root of 96409852 is about 458.5363877653.

The spelling of 96409852 in words is "ninety-six million, four hundred nine thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 97 98 154 194 196 308 388 461 539 679 922 1067 1078 1358 1844 2134 2156 2716 3227 4268 4753 5071 6454 7469 9506 10142 12908 14938 19012 20284 22589 29876 35497 44717 45178 52283 70994 89434 90356 104566 141988 178868 209132 248479 313019 491887 496958 626038 983774 993916 1252076 1967548 2191133 3443209 4382266 6886418 8764532 13772836 24102463 48204926 96409852