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146289025 = 52412592
BaseRepresentation
bin10001011100000…
…11000110000001
3101012021020211001
420232003012001
5244422222100
622303252001
73424302421
oct1056030601
9335236731
10146289025
1175638123
1240baa001
13243cca6c
1415600481
15cc99d6a
hex8b83181

146289025 has 27 divisors (see below), whose sum is σ = 189135433. Its totient is φ = 112241600.

The previous prime is 146289019. The next prime is 146289047. The reversal of 146289025 is 520982641.

The square root of 146289025 is 12095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61575409 + 84713616 = 7847^2 + 9204^2 .

It is not a de Polignac number, because 146289025 - 211 = 146286977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2479446 + ... + 2479504.

Almost surely, 2146289025 is an apocalyptic number.

146289025 is the 12095-th square number.

146289025 is the 6048-th centered octagonal number.

It is an amenable number.

146289025 is a deficient number, since it is larger than the sum of its proper divisors (42846408).

146289025 is an frugal number, since it uses more digits than its factorization.

146289025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 146289025 is about 526.9109797343.

It can be divided in two parts, 14628 and 9025, that added together give a triangular number (23653 = T217).

The spelling of 146289025 in words is "one hundred forty-six million, two hundred eighty-nine thousand, twenty-five".

Divisors: 1 5 25 41 59 205 295 1025 1475 1681 2419 3481 8405 12095 17405 42025 60475 87025 99179 142721 495895 713605 2479475 3568025 5851561 29257805 146289025