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146282641 = 296779953
BaseRepresentation
bin10001011100000…
…01100010010001
3101012020221001121
420232001202101
5244422021031
622303202241
73424245001
oct1056014221
9335227047
10146282641
117563334a
1240ba6381
13243c9b9b
14155dc001
15cc98011
hex8b81891

146282641 has 16 divisors (see below), whose sum is σ = 155692800. Its totient is φ = 137225088.

The previous prime is 146282639. The next prime is 146282663.

146282641 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 146282641 - 21 = 146282639 is a prime.

It is a super-2 number, since 2×1462826412 = 42797222115869762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146282597 and 146282606.

It is not an unprimeable number, because it can be changed into a prime (146282621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153021 + ... + 153973.

It is an arithmetic number, because the mean of its divisors is an integer number (9730800).

Almost surely, 2146282641 is an apocalyptic number.

It is an amenable number.

146282641 is a deficient number, since it is larger than the sum of its proper divisors (9410159).

146282641 is an equidigital number, since it uses as much as digits as its factorization.

146282641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128.

The product of its digits is 18432, while the sum is 34.

The square root of 146282641 is about 12094.7360864138. The cubic root of 146282641 is about 526.9033148881.

The spelling of 146282641 in words is "one hundred forty-six million, two hundred eighty-two thousand, six hundred forty-one".

Divisors: 1 29 67 79 953 1943 2291 5293 27637 63851 75287 153497 1851679 2183323 5044229 146282641