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96375888 = 24327234157
BaseRepresentation
bin1011011111010…
…01010001010000
320201100101212100
411233221101100
5144133012023
613321400400
72250116160
oct557512120
9221311770
1096375888
114a4466a4
1228339100
1316c7506b
14cb2a5a0
1586dac43
hex5be9450

96375888 has 120 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 26332416.

The previous prime is 96375883. The next prime is 96375893. The reversal of 96375888 is 88857369.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96375883) and next prime (96375893).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96375883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21106 + ... + 25262.

Almost surely, 296375888 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 96375888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

96375888 is an abundant number, since it is smaller than the sum of its proper divisors (225353520).

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

96375888 is a wasteful number, since it uses less digits than its factorization.

96375888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4192 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 96375888 is about 9817.1221852435. The cubic root of 96375888 is about 458.4825358725.

The spelling of 96375888 in words is "ninety-six million, three hundred seventy-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 4157 5796 7728 8314 11592 12471 16628 23184 24942 29099 33256 37413 49884 58198 66512 74826 87297 95611 99768 116396 149652 174594 191222 199536 232792 261891 286833 299304 349188 382444 465584 523782 573666 598608 669277 698376 764888 860499 1047564 1147332 1338554 1396752 1529776 1720998 2007831 2095128 2294664 2677108 3441996 4015662 4190256 4589328 5354216 6023493 6883992 8031324 10708432 12046986 13767984 16062648 24093972 32125296 48187944 96375888