Search a number
-
+
93229472 = 257616823
BaseRepresentation
bin1011000111010…
…01000110100000
320111102112210102
411203221012200
5142331320342
613130121532
72211303020
oct543510640
9214375712
1093229472
1148697756
12272802a8
1316412b8b
14c54ba80
1582b8832
hex58e91a0

93229472 has 48 divisors (see below), whose sum is σ = 213236352. Its totient is φ = 39294720.

The previous prime is 93229471. The next prime is 93229481. The reversal of 93229472 is 27492239.

It is not an unprimeable number, because it can be changed into a prime (93229471) 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 7 ways as a sum of consecutive naturals, for example, 10253 + ... + 17075.

It is an arithmetic number, because the mean of its divisors is an integer number (4442424).

Almost surely, 293229472 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 93229472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106618176).

93229472 is an abundant number, since it is smaller than the sum of its proper divisors (120006880).

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

93229472 is a wasteful number, since it uses less digits than its factorization.

93229472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6893 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 93229472 is about 9655.5409998612. The cubic root of 93229472 is about 453.4378209747.

The spelling of 93229472 in words is "ninety-three million, two hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 6823 6832 13646 13664 27292 47761 54584 95522 109168 191044 218336 382088 416203 764176 832406 1528352 1664812 2913421 3329624 5826842 6659248 11653684 13318496 23307368 46614736 93229472