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

bin | 101101100100000000000 |

3 | 2210212000000 |

4 | 11230200000 |

5 | 340233432 |

6 | 52000000 |

7 | 15455514 |

oct | 5544000 |

9 | 2725000 |

10 | 1492992 |

11 | 92a786 |

12 | 600000 |

13 | 403737 |

14 | 2ac144 |

15 | 1e757c |

hex | 16c800 |

1492992 has 84 divisors (see below), whose sum is σ = 4475835. Its totient is φ = 497664.

The previous prime is 1492969. The next prime is 1492993. The reversal of 1492992 is 2992941.

Multipling 1492992 by its product of digits (11664), we get a cube (17414258688 = 2592^{3}).

1492992 divided by its product of digits (11664) gives a 7-th power (128 = 2^{7}).

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 is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (3!)^{4} ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 746496 = 864^2 + 864^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=864.

It is a super-2 number, since 2×1492992^{2} = 4458050224128, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 6, base 8 and base 12.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (1492993) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 497663 + 497664 + 497665.

2^{1492992} is an apocalyptic number.

1492992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1492992

1492992 is an abundant number, since it is smaller than the sum of its proper divisors (2982843).

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

1492992 is an frugal number, since it uses more digits than its factorization.

1492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 5 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 1492992 is about 1221.8805178904. The cubic root of 1492992 is about 114.2928757417.

The spelling of 1492992 in words is "one million, four hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2304 2592 2916 3072 3456 3888 4608 5184 5832 6144 6912 7776 9216 10368 11664 13824 15552 18432 20736 23328 27648 31104 41472 46656 55296 62208 82944 93312 124416 165888 186624 248832 373248 497664 746496 1492992

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