Search a number
-
+
50042496 = 273718617
BaseRepresentation
bin1011111011100…
…1011010000000
310111011102101210
42332321122000
5100302324441
64544330120
71145232330
oct276713200
9114142353
1050042496
112627a739
1214913940
13a4a185a
1469090c0
1545d7616
hex2fb9680

50042496 has 64 divisors (see below), whose sum is σ = 151922880. Its totient is φ = 14297088.

The previous prime is 50042491. The next prime is 50042507. The reversal of 50042496 is 69424005.

50042496 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 (64).

It is not an unprimeable number, because it can be changed into a prime (50042491) 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 7 ways as a sum of consecutive naturals, for example, 6621 + ... + 11996.

It is an arithmetic number, because the mean of its divisors is an integer number (2373795).

Almost surely, 250042496 is an apocalyptic number.

50042496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

50042496 is an abundant number, since it is smaller than the sum of its proper divisors (101880384).

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

50042496 is a wasteful number, since it uses less digits than its factorization.

50042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641 (or 18629 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 50042496 is about 7074.0720946284. The cubic root of 50042496 is about 368.5074913774.

The spelling of 50042496 in words is "fifty million, forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 18617 37234 55851 74468 111702 130319 148936 223404 260638 297872 390957 446808 521276 595744 781914 893616 1042552 1191488 1563828 1787232 2085104 2382976 3127656 3574464 4170208 6255312 7148928 8340416 12510624 16680832 25021248 50042496