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137793448 = 23136532029
BaseRepresentation
bin10000011011010…
…00111110101000
3100121021122002001
420031220332220
5240233342243
621401220344
73262140112
oct1015507650
9317248061
10137793448
1170865291
123a1916b4
1322716bb0
141442c3b2
15c16ca4d
hex8368fa8

137793448 has 32 divisors (see below), whose sum is σ = 278800200. Its totient is φ = 63468288.

The previous prime is 137793431. The next prime is 137793499. The reversal of 137793448 is 844397731.

It can be written as a sum of positive squares in 4 ways, for example, as 118766404 + 19027044 = 10898^2 + 4362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137793398 and 137793407.

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, 66898 + ... + 68926.

Almost surely, 2137793448 is an apocalyptic number.

It is an amenable number.

137793448 is an abundant number, since it is smaller than the sum of its proper divisors (141006752).

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

137793448 is a wasteful number, since it uses less digits than its factorization.

137793448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2697 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 137793448 is about 11738.5453954057. The cubic root of 137793448 is about 516.5069732386.

The spelling of 137793448 in words is "one hundred thirty-seven million, seven hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 653 1306 2029 2612 4058 5224 8116 8489 16232 16978 26377 33956 52754 67912 105508 211016 1324937 2649874 5299748 10599496 17224181 34448362 68896724 137793448