Search a number
-
+
993428048 = 241713032803
BaseRepresentation
bin111011001101101…
…000001001010000
32120020022101002102
4323031220021100
54013304144143
6242324335532
733421666454
oct7315501120
92506271072
10993428048
1146a845218
122388445a8
1312aa78a62
1495d1a664
155c3340b8
hex3b368250

993428048 has 40 divisors (see below), whose sum is σ = 2040280128. Its totient is φ = 466970112.

The previous prime is 993428039. The next prime is 993428069. The reversal of 993428048 is 840824399.

It is a junction number, because it is equal to n+sod(n) for n = 993427993 and 993428011.

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, 353015 + ... + 355817.

Almost surely, 2993428048 is an apocalyptic number.

It is an amenable number.

993428048 is an abundant number, since it is smaller than the sum of its proper divisors (1046852080).

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

993428048 is a wasteful number, since it uses less digits than its factorization.

993428048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 993428048 is about 31518.6936277505. The cubic root of 993428048 is about 997.8045327845.

The spelling of 993428048 in words is "nine hundred ninety-three million, four hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 1303 2606 2803 5212 5606 10424 11212 20848 22151 22424 44302 44848 47651 88604 95302 177208 190604 354416 381208 762416 3652309 7304618 14609236 29218472 58436944 62089253 124178506 248357012 496714024 993428048