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54905928 = 23371123773
BaseRepresentation
bin1101000101110…
…0110001001000
310211022111202220
43101130301020
5103023442203
65240454040
71234456410
oct321346110
9124274686
1054905928
1128aa1700
121647a320
13b4b541c
147413640
154c48653
hex345cc48

54905928 has 192 divisors, whose sum is σ = 179518080. Its totient is φ = 13685760.

The previous prime is 54905927. The next prime is 54905957. The reversal of 54905928 is 82950945.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 54905928.

It is not an unprimeable number, because it can be changed into a prime (54905927) 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 47 ways as a sum of consecutive naturals, for example, 752100 + ... + 752172.

It is an arithmetic number, because the mean of its divisors is an integer number (934990).

Almost surely, 254905928 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 54905928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89759040).

54905928 is an abundant number, since it is smaller than the sum of its proper divisors (124612152).

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

54905928 is a wasteful number, since it uses less digits than its factorization.

54905928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 54905928 is about 7409.8534398462. The cubic root of 54905928 is about 380.0783033465.

The spelling of 54905928 in words is "fifty-four million, nine hundred five thousand, nine hundred twenty-eight".