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1978352046 = 2331117231933
BaseRepresentation
bin111010111101011…
…0100000110101110
312002212121200211000
41311322310012232
513022424231141
6524150541130
7100011500136
oct16572640656
95085550730
101978352046
119258011a0
124726677a6
13256b37b18
1414aa61ac6
15b8a385b6
hex75eb41ae

1978352046 has 64 divisors (see below), whose sum is σ = 4801271040. Its totient is φ = 598842720.

The previous prime is 1978352039. The next prime is 1978352087. The reversal of 1978352046 is 6402538791.

1978352046 is a `hidden beast` number, since 1 + 9 + 7 + 83 + 520 + 46 = 666.

1978352046 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×19783520462 = 7827753635824772232, which contains 22 as substring.

1978352046 is strictly pandigital in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1978351992 and 1978352010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022496 + ... + 1024428.

It is an arithmetic number, because the mean of its divisors is an integer number (75019860).

It is a 1-persistent number, because it is pandigital, but 2⋅1978352046 = 3956704092 is not.

Almost surely, 21978352046 is an apocalyptic number.

1978352046 is an abundant number, since it is smaller than the sum of its proper divisors (2822918994).

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

1978352046 is a wasteful number, since it uses less digits than its factorization.

1978352046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1978352046 is about 44478.6695619372. The cubic root of 1978352046 is about 1255.3587639043.

The spelling of 1978352046 in words is "one billion, nine hundred seventy-eight million, three hundred fifty-two thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1723 1933 3446 3866 5169 5799 10338 11598 15507 17397 18953 21263 31014 34794 37906 42526 46521 52191 56859 63789 93042 104382 113718 127578 170577 191367 341154 382734 511731 574101 1023462 1148202 3330559 6661118 9991677 19983354 29975031 36636149 59950062 73272298 89925093 109908447 179850186 219816894 329725341 659450682 989176023 1978352046