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54923328 = 2632177179
BaseRepresentation
bin1101000110000…
…1000001000000
310211100101122100
43101201001000
5103030021303
65241110400
71234561215
oct321410100
9124311570
1054923328
1129003789
1216488400
13b4c0315
147419b0c
154c4d8a3
hex3461040

54923328 has 168 divisors, whose sum is σ = 171175680. Its totient is φ = 16773120.

The previous prime is 54923321. The next prime is 54923359. The reversal of 54923328 is 82332945.

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 = 54923292 and 54923301.

It is not an unprimeable number, because it can be changed into a prime (54923321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695193 + ... + 695271.

Almost surely, 254923328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

54923328 is an abundant number, since it is smaller than the sum of its proper divisors (116252352).

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

54923328 is a wasteful number, since it uses less digits than its factorization.

54923328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 54923328 is about 7411.0274591314. The cubic root of 54923328 is about 380.1184487627.

The spelling of 54923328 in words is "fifty-four million, nine hundred twenty-three thousand, three hundred twenty-eight".