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96393375 = 3353134
BaseRepresentation
bin1011011111011…
…01100010011111
320201101021212000
411233231202133
5144134042000
613322013343
72250221151
oct557554237
9221337760
1096393375
114a458851
1228347253
1316c80000
14cb32ad1
1586e1000
hex5bed89f

96393375 has 80 divisors (see below), whose sum is σ = 193071840. Its totient is φ = 47455200.

The previous prime is 96393373. The next prime is 96393377. The reversal of 96393375 is 57339369.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

96393375 is a `hidden beast` number, since 9 + 639 + 3 + 3 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (96393373) and next prime (96393377).

It is not a de Polignac number, because 96393375 - 21 = 96393373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (459270) is a multiple of the sum of its prime divisors (21).

It is a self number, because there is not a number n which added to its sum of digits gives 96393375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96393373) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7414869 + ... + 7414881.

It is an arithmetic number, because the mean of its divisors is an integer number (2413398).

Almost surely, 296393375 is an apocalyptic number.

96393375 is an abundant number, since it is smaller than the sum of its proper divisors (96678465).

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

96393375 is an frugal number, since it uses more digits than its factorization.

96393375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 21 counting only the distinct ones).

The product of its digits is 459270, while the sum is 45.

The square root of 96393375 is about 9818.0127826358. The cubic root of 96393375 is about 458.5102641055.

The spelling of 96393375 in words is "ninety-six million, three hundred ninety-three thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 125 135 169 195 225 325 351 375 507 585 675 845 975 1125 1521 1625 1755 2197 2535 2925 3375 4225 4563 4875 6591 7605 8775 10985 12675 14625 19773 21125 22815 28561 32955 38025 43875 54925 59319 63375 85683 98865 114075 142805 164775 190125 257049 274625 296595 428415 494325 570375 714025 771147 823875 1285245 1482975 2142075 2471625 3570125 3855735 6426225 7414875 10710375 19278675 32131125 96393375