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474424128 = 2634232173
BaseRepresentation
bin11100010001110…
…010001101000000
31020001201020120000
4130101302031000
51432423033003
6115024320000
714520352503
oct3421621500
91201636500
10474424128
11223888962
12112a73000
137739ba49
144701913a
152b9b51a3
hex1c472340

474424128 has 210 divisors, whose sum is σ = 1478643474. Its totient is φ = 150391296.

The previous prime is 474424127. The next prime is 474424141. The reversal of 474424128 is 821424474.

It can be written as a sum of positive squares in only one way, i.e., 463454784 + 10969344 = 21528^2 + 3312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 474424092 and 474424101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474424123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2742250 + ... + 2742422.

Almost surely, 2474424128 is an apocalyptic number.

474424128 is a gapful number since it is divisible by the number (48) 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 474424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739321737).

474424128 is an abundant number, since it is smaller than the sum of its proper divisors (1004219346).

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

474424128 is a wasteful number, since it uses less digits than its factorization.

474424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 201 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 474424128 is about 21781.2793012715. The cubic root of 474424128 is about 779.9299345348.

It can be divided in two parts, 474424 and 128, that added together give a cube (474552 = 783).

The spelling of 474424128 in words is "four hundred seventy-four million, four hundred twenty-four thousand, one hundred twenty-eight".