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1948628444 = 22769593873
BaseRepresentation
bin111010000100101…
…1011010111011100
312000210200120200212
41310021123113130
512442322102234
6521205511552
766201032330
oct16411332734
95023616625
101948628444
1190aa4a434
124647125b8
1325092b8a9
14146b257c0
15b61165ce
hex7425b5dc

1948628444 has 12 divisors (see below), whose sum is σ = 3897256944. Its totient is φ = 835126464.

The previous prime is 1948628419. The next prime is 1948628447. The reversal of 1948628444 is 4448268491.

1948628444 is an admirable number.

It is a super-2 number, since 2×19486284442 = 7594305625531722272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1948628392 and 1948628401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948628447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34796909 + ... + 34796964.

It is an arithmetic number, because the mean of its divisors is an integer number (324771412).

Almost surely, 21948628444 is an apocalyptic number.

1948628444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1948628444 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1948628444 is a wasteful number, since it uses less digits than its factorization.

1948628444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69593884 (or 69593882 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 50.

The square root of 1948628444 is about 44143.2717863096. The cubic root of 1948628444 is about 1249.0399976251.

The spelling of 1948628444 in words is "one billion, nine hundred forty-eight million, six hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 69593873 139187746 278375492 487157111 974314222 1948628444