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96875352 = 233772113
BaseRepresentation
bin1011100011000…
…11001101011000
320202021210000000
411301203031120
5144300002402
613340213000
72254266300
oct561431530
9222253000
1096875352
114a757982
122853a160
13170bb4c2
14cc1a600
158788c1c
hex5c63358

96875352 has 192 divisors, whose sum is σ = 319701600. Its totient is φ = 27433728.

The previous prime is 96875351. The next prime is 96875353. The reversal of 96875352 is 25357869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96875351) and next prime (96875353).

It is a junction number, because it is equal to n+sod(n) for n = 96875298 and 96875307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96875351) 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 47 ways as a sum of consecutive naturals, for example, 857248 + ... + 857360.

Almost surely, 296875352 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 96875352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159850800).

96875352 is an abundant number, since it is smaller than the sum of its proper divisors (222826248).

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

96875352 is a wasteful number, since it uses less digits than its factorization.

96875352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 96875352 is about 9842.5277241164. The cubic root of 96875352 is about 459.2731937660.

The spelling of 96875352 in words is "ninety-six million, eight hundred seventy-five thousand, three hundred fifty-two".