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49144000 = 26536143
BaseRepresentation
bin1011101101111…
…0000011000000
310102110202220011
42323132003000
5100040102000
64513154304
71134500653
oct273360300
9112422804
1049144000
1125816684
121455b994
13a2488b9
14675389a
1544ab2ba
hex2ede0c0

49144000 has 56 divisors (see below), whose sum is σ = 121724928. Its totient is φ = 19654400.

The previous prime is 49143989. The next prime is 49144003. The reversal of 49144000 is 44194.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (49144003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4929 + ... + 11071.

Almost surely, 249144000 is an apocalyptic number.

49144000 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 49144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60862464).

49144000 is an abundant number, since it is smaller than the sum of its proper divisors (72580928).

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

49144000 is an equidigital number, since it uses as much as digits as its factorization.

49144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6170 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 49144000 is about 7010.2781685180. The cubic root of 49144000 is about 366.2886830276.

Adding to 49144000 its reverse (44194), we get a palindrome (49188194).

The spelling of 49144000 in words is "forty-nine million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 6143 8000 12286 24572 30715 49144 61430 98288 122860 153575 196576 245720 307150 393152 491440 614300 767875 982880 1228600 1535750 1965760 2457200 3071500 4914400 6143000 9828800 12286000 24572000 49144000