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427951969 = 13721512
BaseRepresentation
bin11001100000100…
…000011101100001
31002211021012201221
4121200200131201
51334023430334
6110244255041
713414350244
oct3140403541
91084235657
10427951969
111aa627715
12bb3a1481
136a87a323
1440b9d25b
15278858b4
hex19820761

427951969 has 9 divisors (see below), whose sum is σ = 433972371. Its totient is φ = 422014800.

The previous prime is 427951963. The next prime is 427952009. The reversal of 427951969 is 969159724.

The square root of 427951969 is 20687.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 251381025 + 176570944 = 15855^2 + 13288^2 .

It is not a de Polignac number, because 427951969 - 27 = 427951841 is a prime.

It is a super-2 number, since 2×4279519692 = 366285775541953922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427951963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2834044 + ... + 2834194.

Almost surely, 2427951969 is an apocalyptic number.

427951969 is the 20687-th square number.

427951969 is the 10344-th centered octagonal number.

It is an amenable number.

427951969 is a deficient number, since it is larger than the sum of its proper divisors (6020402).

427951969 is an frugal number, since it uses more digits than its factorization.

427951969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 52.

The cubic root of 427951969 is about 753.5840126711.

The spelling of 427951969 in words is "four hundred twenty-seven million, nine hundred fifty-one thousand, nine hundred sixty-nine".

Divisors: 1 137 151 18769 20687 22801 2834119 3123737 427951969