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54775000 = 23557313
BaseRepresentation
bin1101000011110…
…0110011011000
310211001212011201
43100330303120
5103010300000
65234003544
71233402610
oct320746330
9124055151
1054775000
1128a122a5
12164165b4
13b46a957
1473bba40
154c1e96a
hex343ccd8

54775000 has 96 divisors (see below), whose sum is σ = 147178080. Its totient is φ = 18720000.

The previous prime is 54774989. The next prime is 54775001. The reversal of 54775000 is 57745.

54775000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 54775000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54775001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174844 + ... + 175156.

It is an arithmetic number, because the mean of its divisors is an integer number (1533105).

Almost surely, 254775000 is an apocalyptic number.

54775000 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 54775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73589040).

54775000 is an abundant number, since it is smaller than the sum of its proper divisors (92403080).

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

54775000 is an equidigital number, since it uses as much as digits as its factorization.

54775000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 54775000 is about 7401.0134441170. The cubic root of 54775000 is about 379.7759528775.

The spelling of 54775000 in words is "fifty-four million, seven hundred seventy-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 313 350 500 625 626 700 875 1000 1250 1252 1400 1565 1750 2191 2500 2504 3125 3130 3500 4375 4382 5000 6250 6260 7000 7825 8750 8764 10955 12500 12520 15650 17500 17528 21875 21910 25000 31300 35000 39125 43750 43820 54775 62600 78250 87500 87640 109550 156500 175000 195625 219100 273875 313000 391250 438200 547750 782500 978125 1095500 1369375 1565000 1956250 2191000 2738750 3912500 5477500 6846875 7825000 10955000 13693750 27387500 54775000