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93399696 = 24331316631
BaseRepresentation
bin1011001000100…
…10101010010000
320111202012022000
411210102222100
5142402242241
613133514000
72212612215
oct544225220
9214665260
1093399696
11487a3635
1227342900
13164724c0
14c593b0c
1582edeb6
hex5912a90

93399696 has 80 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 28736640.

The previous prime is 93399689. The next prime is 93399701. The reversal of 93399696 is 69699339.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2700 + ... + 13931.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 293399696 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 93399696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

93399696 is an abundant number, since it is smaller than the sum of its proper divisors (195331824).

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

93399696 is a wasteful number, since it uses less digits than its factorization.

93399696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16661 (or 16649 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 93399696 is about 9664.3518147882. The cubic root of 93399696 is about 453.7136245685.

The spelling of 93399696 in words is "ninety-three million, three hundred ninety-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 16631 33262 49893 66524 99786 133048 149679 199572 216203 266096 299358 399144 432406 449037 598716 648609 798288 864812 898074 1197432 1297218 1729624 1796148 1945827 2394864 2594436 3459248 3592296 3891654 5188872 5837481 7184592 7783308 10377744 11674962 15566616 23349924 31133232 46699848 93399696