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1472992128 = 2735232971
BaseRepresentation
bin101011111001100…
…0001001110000000
310210122200202100000
41113303001032000
511004041222003
6402055200000
751334140456
oct12763011600
93718622300
101472992128
11696513873
12351376000
131a622719a
14dd8b29d6
15894b21a3
hex57cc1380

1472992128 has 384 divisors, whose sum is σ = 4811788800. Its totient is φ = 447068160.

The previous prime is 1472992121. The next prime is 1472992139. The reversal of 1472992128 is 8212992741.

1472992128 is a `hidden beast` number, since 147 + 299 + 212 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (145152) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472992121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20746333 + ... + 20746403.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 21472992128 is an apocalyptic number.

1472992128 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 1472992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1472992128 is an abundant number, since it is smaller than the sum of its proper divisors (3338796672).

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

1472992128 is an equidigital number, since it uses as much as digits as its factorization.

1472992128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1472992128 is about 38379.5795703913. The cubic root of 1472992128 is about 1137.8023033902.

The spelling of 1472992128 in words is "one billion, four hundred seventy-two million, nine hundred ninety-two thousand, one hundred twenty-eight".