Base | Representation |
---|---|

bin | 1010110101000000000000 |

3 | 12100012201200 |

4 | 22311000000 |

5 | 1211313103 |

6 | 140501200 |

7 | 33061410 |

oct | 12650000 |

9 | 5305650 |

10 | 2838528 |

11 | 16696a0 |

12 | b4a800 |

13 | 785004 |

14 | 53c640 |

15 | 3b10a3 |

hex | 2b5000 |

2838528 has 156 divisors (see below), whose sum is σ = 10222368. Its totient is φ = 737280.

The previous prime is 2838487. The next prime is 2838547. The reversal of 2838528 is 8258382.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30720) is a multiple of the sum of its prime factors (48).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2838492 and 2838501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258043 + ... + 258053.

It is an arithmetic number, because the mean of its divisors is an integer number (65528).

2^{2838528} is an apocalyptic number.

2838528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

2838528 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111184).

2838528 is an abundant number, since it is smaller than the sum of its proper divisors (7383840).

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

2838528 is a wasteful number, since it uses less digits than its factorization.

2838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 23 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2838528 is about 1684.7931623793. The cubic root of 2838528 is about 141.5895041536.

The spelling of 2838528 in words is "two million, eight hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 64 66 72 77 84 88 96 99 112 126 128 132 144 154 168 176 192 198 224 231 252 256 264 288 308 336 352 384 396 448 462 504 512 528 576 616 672 693 704 768 792 896 924 1008 1024 1056 1152 1232 1344 1386 1408 1536 1584 1792 1848 2016 2048 2112 2304 2464 2688 2772 2816 3072 3168 3584 3696 4032 4096 4224 4608 4928 5376 5544 5632 6144 6336 7168 7392 8064 8448 9216 9856 10752 11088 11264 12288 12672 14336 14784 16128 16896 18432 19712 21504 22176 22528 25344 28672 29568 32256 33792 36864 39424 43008 44352 45056 50688 59136 64512 67584 78848 86016 88704 101376 118272 129024 135168 157696 177408 202752 236544 258048 315392 354816 405504 473088 709632 946176 1419264 2838528

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