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49900050 = 23652372
BaseRepresentation
bin1011111001011…
…0101000010010
310110220012000000
42332112220102
5100233300200
64541310430
71144100124
oct276265022
9113805000
1049900050
1126192712
1214865416
13a451a75
1468ad214
1545aa300
hex2f96a12

49900050 has 126 divisors (see below), whose sum is σ = 143020143. Its totient is φ = 12947040.

The previous prime is 49900031. The next prime is 49900051. The reversal of 49900050 is 5000994.

It is a happy number.

49900050 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 5 ways, for example, as 39576681 + 10323369 = 6291^2 + 3213^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4995.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 49899987 and 49900023.

It is not an unprimeable number, because it can be changed into a prime (49900051) 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 62 ways as a sum of consecutive naturals, for example, 1348632 + ... + 1348668.

Almost surely, 249900050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49900050

49900050 is an abundant number, since it is smaller than the sum of its proper divisors (93120093).

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

49900050 is an equidigital number, since it uses as much as digits as its factorization.

49900050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 49900050 is about 7063.9967440536. The cubic root of 49900050 is about 368.1575068122.

The spelling of 49900050 in words is "forty-nine million, nine hundred thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 81 90 111 135 150 162 185 222 225 243 270 333 370 405 450 486 555 666 675 729 810 925 999 1110 1215 1350 1369 1458 1665 1850 1998 2025 2430 2738 2775 2997 3330 3645 4050 4107 4995 5550 5994 6075 6845 7290 8214 8325 8991 9990 12150 12321 13690 14985 16650 17982 18225 20535 24642 24975 26973 29970 34225 36450 36963 41070 44955 49950 53946 61605 68450 73926 74925 89910 102675 110889 123210 134865 149850 184815 205350 221778 224775 269730 308025 332667 369630 449550 554445 616050 665334 674325 924075 998001 1108890 1348650 1663335 1848150 1996002 2772225 3326670 4990005 5544450 8316675 9980010 16633350 24950025 49900050