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742450050 = 2365220369
BaseRepresentation
bin101100010000001…
…110001110000010
31220202001101000000
4230100032032002
53010031400200
6201401140430
724253502256
oct5420161602
91822041000
10742450050
11351103791
1218878a716
13baa83174
1470868266
15452aa300
hex2c40e382

742450050 has 84 divisors (see below), whose sum is σ = 2070590130. Its totient is φ = 197976960.

The previous prime is 742450039. The next prime is 742450063. The reversal of 742450050 is 50054247.

It can be written as a sum of positive squares in 3 ways, for example, as 615684969 + 126765081 = 24813^2 + 11259^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 742449996 and 742450023.

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 41 ways as a sum of consecutive naturals, for example, 26266 + ... + 46634.

Almost surely, 2742450050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742450050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035295065).

742450050 is an abundant number, since it is smaller than the sum of its proper divisors (1328140080).

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

742450050 is a wasteful number, since it uses less digits than its factorization.

742450050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20399 (or 20379 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 742450050 is about 27247.9366191277. The cubic root of 742450050 is about 905.5013044282.

The spelling of 742450050 in words is "seven hundred forty-two million, four hundred fifty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2430 3645 4050 6075 7290 12150 18225 20369 36450 40738 61107 101845 122214 183321 203690 305535 366642 509225 549963 611070 916605 1018450 1099926 1527675 1649889 1833210 2749815 3055350 3299778 4583025 4949667 5499630 8249445 9166050 9899334 13749075 14849001 16498890 24748335 27498150 29698002 41247225 49496670 74245005 82494450 123741675 148490010 247483350 371225025 742450050