Search a number
-
+
93386944 = 267297307
BaseRepresentation
bin1011001000011…
…11100011000000
320111201112210201
411210033203000
5142401340234
613133334544
72212530100
oct544174300
9214645721
1093386944
1148794aa2
1227337454
1316469761
14c58d200
1582ea314
hex590f8c0

93386944 has 84 divisors (see below), whose sum is σ = 218501976. Its totient is φ = 39481344.

The previous prime is 93386941. The next prime is 93386977. The reversal of 93386944 is 44968339.

It is a super-2 number, since 2×933869442 = 17442242619318272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93386894 and 93386903.

It is not an unprimeable number, because it can be changed into a prime (93386941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304039 + ... + 304345.

It is an arithmetic number, because the mean of its divisors is an integer number (2601214).

Almost surely, 293386944 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 93386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109250988).

93386944 is an abundant number, since it is smaller than the sum of its proper divisors (125115032).

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

93386944 is a wasteful number, since it uses less digits than its factorization.

93386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The square root of 93386944 is about 9663.6920480736. The cubic root of 93386944 is about 453.6929748957.

The spelling of 93386944 in words is "ninety-three million, three hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 97 98 112 194 196 224 307 388 392 448 614 679 776 784 1228 1358 1552 1568 2149 2456 2716 3104 3136 4298 4753 4912 5432 6208 8596 9506 9824 10864 15043 17192 19012 19648 21728 29779 30086 34384 38024 43456 59558 60172 68768 76048 119116 120344 137536 152096 208453 238232 240688 304192 416906 476464 481376 833812 952928 962752 1459171 1667624 1905856 2918342 3335248 5836684 6670496 11673368 13340992 23346736 46693472 93386944