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54978500 = 2253313547
BaseRepresentation
bin1101000110111…
…0011111000100
310211110012022202
43101232133010
5103033303000
65242214032
71235211113
oct321563704
9124405282
1054978500
1129041185
12164b4318
13b50c475
147431c7a
154c5edd5
hex346e7c4

54978500 has 48 divisors (see below), whose sum is σ = 123981312. Its totient is φ = 21276000.

The previous prime is 54978491. The next prime is 54978503. The reversal of 54978500 is 587945.

It is not an unprimeable number, because it can be changed into a prime (54978503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13727 + ... + 17273.

It is an arithmetic number, because the mean of its divisors is an integer number (2582944).

Almost surely, 254978500 is an apocalyptic number.

54978500 is a gapful number since it is divisible by the number (50) 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 54978500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61990656).

54978500 is an abundant number, since it is smaller than the sum of its proper divisors (69002812).

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

54978500 is a wasteful number, since it uses less digits than its factorization.

54978500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 54978500 is about 7414.7488157051. The cubic root of 54978500 is about 380.2456859948.

The spelling of 54978500 in words is "fifty-four million, nine hundred seventy-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 775 1550 3100 3547 3875 7094 7750 14188 15500 17735 35470 70940 88675 109957 177350 219914 354700 439828 443375 549785 886750 1099570 1773500 2199140 2748925 5497850 10995700 13744625 27489250 54978500