Search a number
-
+
1450376928 = 253471113243
BaseRepresentation
bin101011001110010…
…1111111011100000
310202002010210010000
41112130233323200
510432244030203
6355530340000
750641000110
oct12634577340
93662123100
101450376928
11684777720
1234588a600
131a1639600
14da8a7040
15874e64a3
hex5672fee0

1450376928 has 720 divisors, whose sum is σ = 5892518016. Its totient is φ = 339655680.

The previous prime is 1450376923. The next prime is 1450376953. The reversal of 1450376928 is 8296730541.

1450376928 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1450376928 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450376923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33729675 + ... + 33729717.

It is a 1-persistent number, because it is pandigital, but 2⋅1450376928 = 2900753856 is not.

Almost surely, 21450376928 is an apocalyptic number.

1450376928 is a gapful number since it is divisible by the number (18) 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 1450376928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946259008).

1450376928 is an abundant number, since it is smaller than the sum of its proper divisors (4442141088).

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

1450376928 is a wasteful number, since it uses less digits than its factorization.

1450376928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1450376928 is about 38083.8145148303. The cubic root of 1450376928 is about 1131.9492625022.

The spelling of 1450376928 in words is "one billion, four hundred fifty million, three hundred seventy-six thousand, nine hundred twenty-eight".