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54965500 = 2253211521
BaseRepresentation
bin1101000110101…
…1010011111100
310211102112111021
43101223103330
5103032344000
65242033524
71235125162
oct321532374
9124375437
1054965500
1129032437
12164a88a4
13b506585
14742b232
154c5b11a
hex346b4fc

54965500 has 48 divisors (see below), whose sum is σ = 120845088. Its totient is φ = 21840000.

The previous prime is 54965497. The next prime is 54965507. The reversal of 54965500 is 556945.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54965507) 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, 105240 + ... + 105760.

It is an arithmetic number, because the mean of its divisors is an integer number (2517606).

Almost surely, 254965500 is an apocalyptic number.

54965500 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 54965500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60422544).

54965500 is an abundant number, since it is smaller than the sum of its proper divisors (65879588).

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

54965500 is a wasteful number, since it uses less digits than its factorization.

54965500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 54965500 is about 7413.8721326983. The cubic root of 54965500 is about 380.2157131655.

It can be divided in two parts, 549 and 65500, that added together give a square (66049 = 2572).

The spelling of 54965500 in words is "fifty-four million, nine hundred sixty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 211 250 422 500 521 844 1042 1055 2084 2110 2605 4220 5210 5275 10420 10550 13025 21100 26050 26375 52100 52750 65125 105500 109931 130250 219862 260500 439724 549655 1099310 2198620 2748275 5496550 10993100 13741375 27482750 54965500