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830194048 = 2717381523
BaseRepresentation
bin110001011110111…
…100000110000000
32010212011020010201
4301132330012000
53200012202143
6214213534544
726400350545
oct6136740600
92125136121
10830194048
11396694092
121b2044454
13102cc52a8
147c388bcc
154cd3d64d
hex317bc180

830194048 has 32 divisors (see below), whose sum is σ = 1751195160. Its totient is φ = 390678528.

The previous prime is 830194019. The next prime is 830194087. The reversal of 830194048 is 840491038.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 830193998 and 830194016.

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 3 ways as a sum of consecutive naturals, for example, 188586 + ... + 192937.

Almost surely, 2830194048 is an apocalyptic number.

It is an amenable number.

830194048 is an abundant number, since it is smaller than the sum of its proper divisors (921001112).

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

830194048 is a wasteful number, since it uses less digits than its factorization.

830194048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381554 (or 381542 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 830194048 is about 28813.0881371643. The cubic root of 830194048 is about 939.8528696838.

The spelling of 830194048 in words is "eight hundred thirty million, one hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 381523 763046 1526092 3052184 6104368 6485891 12208736 12971782 24417472 25943564 48834944 51887128 103774256 207548512 415097024 830194048