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49146000 = 243538191
BaseRepresentation
bin1011101101111…
…0100010010000
310102110212122020
42323132202100
5100040133000
64513211440
71134506541
oct273364220
9112425566
1049146000
1125818132
1214560b80
13a249797
1467544c8
1544abba0
hex2ede890

49146000 has 80 divisors (see below), whose sum is σ = 158466048. Its totient is φ = 13104000.

The previous prime is 49145983. The next prime is 49146001. The reversal of 49146000 is 64194.

49146000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (49146001) 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 15 ways as a sum of consecutive naturals, for example, 1905 + ... + 10095.

Almost surely, 249146000 is an apocalyptic number.

49146000 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 49146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79233024).

49146000 is an abundant number, since it is smaller than the sum of its proper divisors (109320048).

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

49146000 is a wasteful number, since it uses less digits than its factorization.

49146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49146000 is about 7010.4208147586. The cubic root of 49146000 is about 366.2936518772.

The spelling of 49146000 in words is "forty-nine million, one hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 8191 16382 24573 32764 40955 49146 65528 81910 98292 122865 131056 163820 196584 204775 245730 327640 393168 409550 491460 614325 655280 819100 982920 1023875 1228650 1638200 1965840 2047750 2457300 3071625 3276400 4095500 4914600 6143250 8191000 9829200 12286500 16382000 24573000 49146000