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48774700 = 225213172207
BaseRepresentation
bin1011101000001…
…1111000101100
310101210000022101
42322003320230
544441242300
64501224444
71131402202
oct272037054
9111700271
1048774700
1125594177
1214402124
13a149790
146699072
154436b6a
hex2e83e2c

48774700 has 72 divisors (see below), whose sum is σ = 120742272. Its totient is φ = 16942080.

The previous prime is 48774643. The next prime is 48774709. The reversal of 48774700 is 747784.

48774700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48774700.

It is not an unprimeable number, because it can be changed into a prime (48774709) 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, 20997 + ... + 23203.

It is an arithmetic number, because the mean of its divisors is an integer number (1676976).

Almost surely, 248774700 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 48774700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60371136).

48774700 is an abundant number, since it is smaller than the sum of its proper divisors (71967572).

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

48774700 is a wasteful number, since it uses less digits than its factorization.

48774700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 48774700 is about 6983.8886016316. Note that the first 3 decimals coincide. The cubic root of 48774700 is about 365.3688646098.

The spelling of 48774700 in words is "forty-eight million, seven hundred seventy-four thousand, seven hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2207 2210 4414 4420 5525 8828 11035 11050 22070 22100 28691 37519 44140 55175 57382 75038 110350 114764 143455 150076 187595 220700 286910 375190 487747 573820 717275 750380 937975 975494 1434550 1875950 1950988 2438735 2869100 3751900 4877470 9754940 12193675 24387350 48774700