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49361000 = 2353133797
BaseRepresentation
bin1011110001001…
…1000001101000
310102212210120012
42330103001220
5100114023000
64521551052
71136363423
oct274230150
9112783505
1049361000
1125954717
1214645488
13a2c35c0
1467ac9ba
154500735
hex2f13068

49361000 has 64 divisors (see below), whose sum is σ = 124422480. Its totient is φ = 18220800.

The previous prime is 49360991. The next prime is 49361029. The reversal of 49361000 is 16394.

It can be written as a sum of positive squares in 8 ways, for example, as 5827396 + 43533604 = 2414^2 + 6598^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11102 + ... + 14898.

Almost surely, 249361000 is an apocalyptic number.

49361000 is a gapful number since it is divisible by the number (40) 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 49361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62211240).

49361000 is an abundant number, since it is smaller than the sum of its proper divisors (75061480).

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

49361000 is a wasteful number, since it uses less digits than its factorization.

49361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 49361000 is about 7025.7383953575. The cubic root of 49361000 is about 366.8270189364.

Adding to 49361000 its reverse (16394), we get a palindrome (49377394).

The spelling of 49361000 in words is "forty-nine million, three hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 3797 6500 7594 13000 15188 18985 30376 37970 49361 75940 94925 98722 151880 189850 197444 246805 379700 394888 474625 493610 759400 949250 987220 1234025 1898500 1974440 2468050 3797000 4936100 6170125 9872200 12340250 24680500 49361000