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3634974848 = 27734
BaseRepresentation
bin1101100010101001…
…0101000010000000
3100101022211212002002
43120222111002000
524421023143343
61400410043132
7156035530211
oct33052250200
910338755062
103634974848
1115a593744a
128554194a8
1345c1075bb
14266a95408
151641be8b8
hexd8a95080

3634974848 has 40 divisors (see below), whose sum is σ = 7342128555. Its totient is φ = 1792590336.

The previous prime is 3634974841. The next prime is 3634974851. The reversal of 3634974848 is 8484794363.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 2304768064 + 1330206784 = 48008^2 + 36472^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=42632.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3634974793 and 3634974802.

It is not an unprimeable number, because it can be changed into a prime (3634974841) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 49794140 + ... + 49794212.

Almost surely, 23634974848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3634974848

3634974848 is an abundant number, since it is smaller than the sum of its proper divisors (3707153707).

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

3634974848 is an frugal number, since it uses more digits than its factorization.

3634974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 75 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 56.

The square root of 3634974848 is about 60290.7525910898. The cubic root of 3634974848 is about 1537.5661290261.

The spelling of 3634974848 in words is "three billion, six hundred thirty-four million, nine hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 5329 9344 10658 21316 42632 85264 170528 341056 389017 682112 778034 1556068 3112136 6224272 12448544 24897088 28398241 49794176 56796482 113592964 227185928 454371856 908743712 1817487424 3634974848