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4574492928 = 28333137577
BaseRepresentation
bin1000100001010100…
…10011100100000000
3102210210201022121000
410100222103210000
533332032233203
62033531132000
7221234356035
oct42052234400
912723638530
104574492928
111a38200275
12a77ba4000
1357b959365
1431577b38c
151bb9054a3
hex110a93900

4574492928 has 288 divisors, whose sum is σ = 14366213120. Its totient is φ = 1433272320.

The previous prime is 4574492921. The next prime is 4574492929. The reversal of 4574492928 is 8292944754.

It is a happy number.

4574492928 is a `hidden beast` number, since 4 + 574 + 49 + 2 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4574492921) 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, 7927776 + ... + 7928352.

Almost surely, 24574492928 is an apocalyptic number.

4574492928 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 4574492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183106560).

4574492928 is an abundant number, since it is smaller than the sum of its proper divisors (9791720192).

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

4574492928 is a wasteful number, since it uses less digits than its factorization.

4574492928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 650 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4574492928 is about 67634.9978043912. The cubic root of 4574492928 is about 1660.0238212094.

The spelling of 4574492928 in words is "four billion, five hundred seventy-four million, four hundred ninety-two thousand, nine hundred twenty-eight".