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93797056 = 2610713697
BaseRepresentation
bin1011001011100…
…11101011000000
320112111101101001
411211303223000
5143003001211
613150221344
72216155543
oct545635300
9215441331
1093797056
1148a45131
12274b4854
1316581322
14c65885a
15837bac1
hex5973ac0

93797056 has 28 divisors (see below), whose sum is σ = 187881768. Its totient is φ = 46456832.

The previous prime is 93797051. The next prime is 93797057. The reversal of 93797056 is 65079739.

93797056 is a nontrivial binomial coefficient, being equal to C(13697, 2).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 93796997 and 93797015.

It is not an unprimeable number, because it can be changed into a prime (93797051) 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 3 ways as a sum of consecutive naturals, for example, 1 + ... + 13696.

Almost surely, 293797056 is an apocalyptic number.

93797056 is the 13696-th triangular number.

93797056 is the 4566-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93940884).

93797056 is an abundant number, since it is smaller than the sum of its proper divisors (94084712).

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

93797056 is a wasteful number, since it uses less digits than its factorization.

93797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13816 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 46.

The square root of 93797056 is about 9684.8880220682. Note that the first 3 decimals coincide. The cubic root of 93797056 is about 454.3561412076.

The spelling of 93797056 in words is "ninety-three million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 3424 6848 13697 27394 54788 109576 219152 438304 876608 1465579 2931158 5862316 11724632 23449264 46898528 93797056