Search a number
-
+
901990848 = 26311427079
BaseRepresentation
bin110101110000110…
…100100111000000
32022212020212211110
4311300310213000
53321402201343
6225300443320
731231536633
oct6560644700
92285225743
10901990848
11423172090
122120a9540
13114b428c5
1487b17c1a
15542c1833
hex35c349c0

901990848 has 56 divisors (see below), whose sum is σ = 2603479680. Its totient is φ = 273329920.

The previous prime is 901990807. The next prime is 901990871. The reversal of 901990848 is 848099109.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 901990797 and 901990806.

It is a congruent number.

It is an unprimeable number.

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, 211428 + ... + 215651.

Almost surely, 2901990848 is an apocalyptic number.

It is an amenable number.

901990848 is an abundant number, since it is smaller than the sum of its proper divisors (1701488832).

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

901990848 is a wasteful number, since it uses less digits than its factorization.

901990848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427105 (or 427095 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 901990848 is about 30033.1624708421. The cubic root of 901990848 is about 966.2007649966.

The spelling of 901990848 in words is "nine hundred one million, nine hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 427079 854158 1281237 1708316 2562474 3416632 4697869 5124948 6833264 9395738 10249896 13666528 14093607 18791476 20499792 27333056 28187214 37582952 40999584 56374428 75165904 81999168 112748856 150331808 225497712 300663616 450995424 901990848