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93408 = 2537139
BaseRepresentation
bin10110110011100000
311202010120
4112303200
510442113
62000240
7536220
oct266340
9152116
1093408
11641a7
1246080
1333693
1426080
151ca23
hex16ce0

93408 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 26496.

The previous prime is 93407. The next prime is 93419. The reversal of 93408 is 80439.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

293408 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 93408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

93408 is an abundant number, since it is smaller than the sum of its proper divisors (188832).

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

93408 is a wasteful number, since it uses less digits than its factorization.

93408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 93408 is about 305.6272239183. The cubic root of 93408 is about 45.3727070459.

The spelling of 93408 in words is "ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1668 1946 2224 2919 3336 3892 4448 5838 6672 7784 11676 13344 15568 23352 31136 46704 93408