Search a number
-
+
1473378816 = 29371383127
BaseRepresentation
bin101011111010001…
…1111101000000000
310210200102101202210
41113310133220000
511004141110231
6402111342120
751340341030
oct12764375000
93720371683
101473378816
11696758348
12351521940
131a63311b0
14dd9738c0
158953ba46
hex57d1fa00

1473378816 has 320 divisors, whose sum is σ = 4927684608. Its totient is φ = 380878848.

The previous prime is 1473378799. The next prime is 1473378817. The reversal of 1473378816 is 6188733741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1473378817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11601345 + ... + 11601471.

Almost surely, 21473378816 is an apocalyptic number.

1473378816 is a gapful number since it is divisible by the number (16) 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 1473378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463842304).

1473378816 is an abundant number, since it is smaller than the sum of its proper divisors (3454305792).

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

1473378816 is a wasteful number, since it uses less digits than its factorization.

1473378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 1473378816 is about 38384.6169187606. The cubic root of 1473378816 is about 1137.9018594783.

The spelling of 1473378816 in words is "one billion, four hundred seventy-three million, three hundred seventy-eight thousand, eight hundred sixteen".