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96205536 = 2533715907
BaseRepresentation
bin1011011101111…
…11101011100000
320201000202012000
411232333223200
5144112034121
613314004000
72245506420
oct556775340
9221022160
1096205536
114a33a709
1228276600
1316c1566b
14cac4480
1586a5526
hex5bbfae0

96205536 has 96 divisors (see below), whose sum is σ = 320705280. Its totient is φ = 27485568.

The previous prime is 96205469. The next prime is 96205537. The reversal of 96205536 is 63550269.

96205536 = 952 + 962 + ... + 6612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 96205536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96205537) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1906 + ... + 14001.

It is an arithmetic number, because the mean of its divisors is an integer number (3340680).

Almost surely, 296205536 is an apocalyptic number.

96205536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96205536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160352640).

96205536 is an abundant number, since it is smaller than the sum of its proper divisors (224499744).

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

96205536 is a wasteful number, since it uses less digits than its factorization.

96205536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933 (or 15919 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 96205536 is about 9808.4420781284. The cubic root of 96205536 is about 458.2122418470.

The spelling of 96205536 in words is "ninety-six million, two hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 15907 31814 47721 63628 95442 111349 127256 143163 190884 222698 254512 286326 334047 381768 429489 445396 509024 572652 668094 763536 858978 890792 1002141 1145304 1336188 1527072 1717956 1781584 2004282 2290608 2672376 3006423 3435912 3563168 4008564 4581216 5344752 6012846 6871824 8017128 10689504 12025692 13743648 16034256 24051384 32068512 48102768 96205536