Search a number
-
+
93491040 = 25353161103
BaseRepresentation
bin1011001001010…
…00111101100000
320111220211121010
411210220331200
5142413203130
613135500520
72213442426
oct544507540
9214824533
1093491040
1148856225
1227387740
13164a4c56
14c5b9116
15831b0b0
hex5928f60

93491040 has 192 divisors, whose sum is σ = 311980032. Its totient is φ = 23500800.

The previous prime is 93491023. The next prime is 93491059. The reversal of 93491040 is 4019439.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 93490989 and 93491007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907629 + ... + 907731.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 293491040 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 93491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

93491040 is an abundant number, since it is smaller than the sum of its proper divisors (218488992).

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

93491040 is a wasteful number, since it uses less digits than its factorization.

93491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 93491040 is about 9669.0764812365. The cubic root of 93491040 is about 453.8614855567.

The spelling of 93491040 in words is "ninety-three million, four hundred ninety-one thousand, forty".