Search a number
-
+
457030056 = 233722361277
BaseRepresentation
bin11011001111011…
…011100110101000
31011211222112101010
4123033123212220
51413444430211
6113203423520
714216456100
oct3317334650
91154875333
10457030056
11214a8849a
12109084ba0
13738bb7b2
14449ac200
152a1cb4a6
hex1b3db9a8

457030056 has 192 divisors, whose sum is σ = 1414730880. Its totient is φ = 122411520.

The previous prime is 457030037. The next prime is 457030061. The reversal of 457030056 is 650030754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649790 + ... + 1650066.

It is an arithmetic number, because the mean of its divisors is an integer number (7368390).

Almost surely, 2457030056 is an apocalyptic number.

457030056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457030056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707365440).

457030056 is an abundant number, since it is smaller than the sum of its proper divisors (957700824).

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

457030056 is a wasteful number, since it uses less digits than its factorization.

457030056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 457030056 is about 21378.2612950633. The cubic root of 457030056 is about 770.2793476792.

The spelling of 457030056 in words is "four hundred fifty-seven million, thirty thousand, fifty-six".