Search a number
-
+
5149000 = 235319271
BaseRepresentation
bin10011101001000101001000
3100200121002201
4103221011020
52304232000
6302205544
761523443
oct23510510
910617081
105149000
1129a757a
1218838b4
1310b385c
1498065a
156ba96a
hex4e9148

5149000 has 64 divisors (see below), whose sum is σ = 12729600. Its totient is φ = 1944000.

The previous prime is 5148973. The next prime is 5149009. The reversal of 5149000 is 9415.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5149009) 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, 18865 + ... + 19135.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 25149000 is an apocalyptic number.

5149000 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 5149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364800).

5149000 is an abundant number, since it is smaller than the sum of its proper divisors (7580600).

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

5149000 is a wasteful number, since it uses less digits than its factorization.

5149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5149000 is about 2269.1408065609. The cubic root of 5149000 is about 172.6795721551.

The spelling of 5149000 in words is "five million, one hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 271 380 475 500 542 760 950 1000 1084 1355 1900 2168 2375 2710 3800 4750 5149 5420 6775 9500 10298 10840 13550 19000 20596 25745 27100 33875 41192 51490 54200 67750 102980 128725 135500 205960 257450 271000 514900 643625 1029800 1287250 2574500 5149000