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1472405472 = 253347101359
BaseRepresentation
bin101011111000011…
…0001111111100000
310210121120221121000
41113300301333200
511003413433342
6402034432000
751326145216
oct12760617740
93717527530
101472405472
1169615302a
12351132600
131a6080155
14dd79ccb6
15893e844c
hex57c31fe0

1472405472 has 192 divisors, whose sum is σ = 4441651200. Its totient is φ = 474278400.

The previous prime is 1472405471. The next prime is 1472405477. The reversal of 1472405472 is 2745042741.

1472405472 is a `hidden beast` number, since 1 + 4 + 72 + 40 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472405471) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4101229 + ... + 4101587.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 21472405472 is an apocalyptic number.

1472405472 is a gapful number since it is divisible by the number (12) 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 1472405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

1472405472 is an abundant number, since it is smaller than the sum of its proper divisors (2969245728).

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

1472405472 is a wasteful number, since it uses less digits than its factorization.

1472405472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 1472405472 is about 38371.9359949430. The cubic root of 1472405472 is about 1137.6512305793.

The spelling of 1472405472 in words is "one billion, four hundred seventy-two million, four hundred five thousand, four hundred seventy-two".