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49140100 = 22527012
BaseRepresentation
bin1011101101110…
…1000110000100
310102110120112201
42323131012010
5100034440400
64513124244
71134453412
oct273350604
9112416481
1049140100
1125813759
1214559684
13a246ba9
1467522b2
1544aa06a
hex2edd184

49140100 has 27 divisors (see below), whose sum is σ = 106786351. Its totient is φ = 19628000.

The previous prime is 49140089. The next prime is 49140101. The reversal of 49140100 is 104194.

The square root of 49140100 is 7010.

It is a perfect power (a square), and thus also a powerful number.

49140100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3334276 + 45805824 = 1826^2 + 6768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49140101) 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 8 ways as a sum of consecutive naturals, for example, 69750 + ... + 70450.

Almost surely, 249140100 is an apocalyptic number.

49140100 is the 7010-th square number.

It is an amenable number.

49140100 is an abundant number, since it is smaller than the sum of its proper divisors (57646251).

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

49140100 is an equidigital number, since it uses as much as digits as its factorization.

49140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 49140100 is about 366.2789933832.

Multiplying 49140100 by its product of nonzero digits (144), we get a square (7076174400 = 841202).

Adding to 49140100 its reverse (104194), we get a palindrome (49244294).

The spelling of 49140100 in words is "forty-nine million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 701 1402 2804 3505 7010 14020 17525 35050 70100 491401 982802 1965604 2457005 4914010 9828020 12285025 24570050 49140100