Search a number
-
+
93784096 = 257613683
BaseRepresentation
bin1011001011100…
…00100000100000
320112110201121001
411211300200200
5143002042341
613150041344
72216103010
oct545604040
9215421531
1093784096
1148a3641a
12274a9254
1316578463
14c653c40
158377d31
hex5970820

93784096 has 48 divisors (see below), whose sum is σ = 211667904. Its totient is φ = 40068864.

The previous prime is 93784091. The next prime is 93784111. The reversal of 93784096 is 69048739.

It is not an unprimeable number, because it can be changed into a prime (93784091) 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, 136971 + ... + 137653.

It is an arithmetic number, because the mean of its divisors is an integer number (4409748).

Almost surely, 293784096 is an apocalyptic number.

It is an amenable number.

93784096 is an abundant number, since it is smaller than the sum of its proper divisors (117883808).

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

93784096 is a wasteful number, since it uses less digits than its factorization.

93784096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 93784096 is about 9684.2189153282. The cubic root of 93784096 is about 454.3352140163.

The spelling of 93784096 in words is "ninety-three million, seven hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 613 683 1226 1366 2452 2732 4291 4781 4904 5464 8582 9562 9808 10928 17164 19124 19616 21856 34328 38248 68656 76496 137312 152992 418679 837358 1674716 2930753 3349432 5861506 6698864 11723012 13397728 23446024 46892048 93784096